Hi Maniish,

You need to first authenticate the credentials from the link https://console.developers.google.com/project
Follow the link for the step to create the project and credentials -- credentials https://help.salesforce.com/articleView?id=000239696&type=1

The second Step you need to create one visual force page, I have added the VF page 

<apex:page controller="GoogleDriveController">
    <style>
    .error {
    font-style: italic;
    font-size: 15px;
    font-weight: bold;
    text-align: center;
    color: green;
    }
    
    .myClass {
    color: black !important;
    background: #87ceeb !important;
    width: 300px;
    font-size: 20px !important;
    height: 35px;
    }
    </style>
    <center>
        <apex:form style="margin-top:5%;margin-left:5%;width:60%">
        <apex:pageblock >
            <apex:commandbutton styleClass="myClass" onclick="this.value = 'Authenticating....'" action="{!DriveAuth}" value="Google Drive Authentication">
            </apex:commandbutton>
            <br/>
            <br/>
            <br/>
            <br/>
            <apex:inputfile value="{!file}" contentType="{!filetype}" filename="{!filename}" />
            <br/>
            <br/>
            <br/>
            <br/>
            <apex:commandButton styleClass="myClass" onclick="this.value = 'Uploading...'" value="Upload file" action="{!UploadFile}" />
            <br/>
            <br/>
            <apex:messages styleClass="error" />
            <br/>
            </apex:pageblock>
        </apex:form>
    </center>
</apex:page>

The third step is you need to create the apex-class and assign the client id and client secret which you will get from google API credentials,
I have attached the apex-class also after following this step you will be authenticated and your file will be uploaded from salesforce to google drive.

public class GoogleDriveController {
    private String code;
    public boolean val {get;set;}
    public blob file { get;set;}
    public String filetype { get;set;}
    public String filename {get;set;}
    private string key = 'Client_id';
    private string secret = 'Client_secret';
    private string redirect_uri = 'https://teqtrailhead-dev-ed--c.ap5.visual.force.com/apex/GoogleDrivePage';
    private String accesstoken;
    private Integer expiresIn;
    private String tokentype;
    public GoogleDriveController() {
        code = ApexPages.currentPage().getParameters().get('code');
        //Get the access token once we have code
        if (code != '' && code != null) {
            System.debug(' code__ ' + code);
            AccessToken();
        }
    }

    public PageReference DriveAuth() {
        //Authenticating
        PageReference pg = new PageReference(GoogleDriveAuthUri(key, redirect_uri));
        return pg;
    }

    public String GoogleDriveAuthUri(String Clientkey, String redirect_uri) {
        String key = EncodingUtil.urlEncode(Clientkey, 'UTF-8');
        String uri = EncodingUtil.urlEncode(redirect_uri, 'UTF-8');
        String authuri = '';
        authuri = 'https://accounts.google.com/o/oauth2/v2/auth?'+
        'scope=https://www.googleapis.com/auth/drive&'+
        'state=security_token%3D138r5719ru3e1%26url%3Dhttps://oa2cb.example.com/myHome&'+
        'redirect_uri=' +uri+ 
        '&response_type=code&'+
        'client_id='+key+
        '&access_type=offline';       
        return authuri;
    }
    public void UploadFile() {
        String boundary = '----------9889464542212';
        String delimiter = '\r\n--' + boundary + '\r\n';
        String close_delim = '\r\n--' + boundary + '--';
        String bodyEncoded = EncodingUtil.base64Encode(file);
        String body = delimiter + 'Content-Type: application/json\r\n\r\n' + '{ "title" : "' + filename + '",' + ' "mimeType" : "' + filetype + '" }' + delimiter + 'Content-Type: ' + filetype + '\r\n' + 'Content-Transfer-Encoding: base64\r\n' + '\r\n' + bodyEncoded + close_delim;
        Http http = new Http();
        HttpRequest req = new HttpRequest();
        req.setEndpoint('https://www.googleapis.com/upload/drive/v2/files?uploadType=multipart');
        req.setHeader('Authorization', 'Bearer ' + accessToken);
        req.setHeader('Content-Type', 'multipart/mixed; boundary="' + boundary + '"');
        req.setHeader('Content-length', String.valueOf(body.length()));
        system.debug('body.length()'+body.length());
        system.debug('body>>'+body);
        req.setBody(body);
        req.setMethod('POST');
        req.setTimeout(60 * 1000);
        HttpResponse resp = http.send(req);
        system.debug('resp'+resp);
        file = null;
        filetype = '';
        filename = '';
        
    
    }

    public void AccessToken() {
        //Getting access token from google
        HttpRequest req = new HttpRequest();
        req.setMethod('POST');
        req.setEndpoint('https://accounts.google.com/o/oauth2/token');
        req.setHeader('content-type', 'application/x-www-form-urlencoded');
        String messageBody = 'code=' + code + '&client_id=' + key + '&client_secret=' + secret + '&redirect_uri=' + redirect_uri + '&grant_type=authorization_code';

        req.setHeader('Content-length', String.valueOf(messageBody.length()));
        req.setBody(messageBody);
        req.setTimeout(60 * 1000);

        Http h = new Http();
        String resp;
        HttpResponse res = h.send(req);
        resp = res.getBody();
        JSONParser parser = JSON.createParser(resp);
        system.debug('resp>>>'+resp);
        while (parser.nextToken() != null) {
            if ((parser.getCurrentToken() == JSONToken.FIELD_NAME)) {
                String fieldName = parser.getText();
                parser.nextToken();
                if (fieldName == 'access_token') {
                    accesstoken = parser.getText();
                } else if (fieldName == 'expires_in') {
                   
                    expiresIn = parser.getIntegerValue();
                    
                } else if (fieldname == 'token_type') {
                    tokentype = parser.getText();
                }
            }
        }
        System.debug(' You can parse the response to get the access token ::: ' + resp);
    }
}

Feel free to ask if you need further clarification.

Mark, it as best answers if you like it.

Thanks!