Hi,

Here is the example to search Account Record and display it alphabatically.

Visualforce Page:

<apex:page controller="ctrlAccountSearch">
    <apex:form >
        <apex:inputtext value="{!strAccSearchString}"/>
        <apex:commandButton value="Search" action="{!SearchAccountRec}"/>        
        <apex:pageBlock rendered="{!If(lstAccount.size>0,true,false)}" title="Search Result">
            <apex:pageBlockTable value="{!lstAccount}" var="acc">
                <apex:column >
                    <apex:facet name="header">Name</apex:facet>
                    <apex:outputLink value="/{!acc.id}">{!acc.Name}</apex:outputLink>                            
                </apex:column>                     
            </apex:pageBlockTable>           
        </apex:pageBlock>
        <apex:pageBlock rendered="{!If(lstAccount.size==0 && isResultDisplay == true,true,false)}" title="Search Result">            
                <apex:outputLabel value="No Result Found"></apex:outputLabel>           
        </apex:pageBlock>
    </apex:form>
</apex:page>

Apex Class:

public class ctrlAccountSearch{
    public string strAccSearchString {get; set;}
    public List<Account> lstAccount {get; set;}
    public boolean isResultDisplay {get; set;}
    
    //  constructor
    public ctrlAccountSearch(){
        lstAccount = new List<Account>();
        isResultDisplay = false;
    }
    
    //  Search Function
    public void SearchAccountRec(){
        isResultDisplay = true;
        string strLikeString = '%'+strAccSearchString+'%';
        string strSOQL = 'select id,Name from Account where name LIKE: strLikeString order by Name asc';
        lstAccount = database.query(strSOQL);
    }
}

Important :
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Thank You,
Hitesh Patel
SFDC Certified Developer & Administrator