If you want to see all events in the security event log for a specific user, then you need to use an XML filter like this. (Make sure to replace <username> with the username that you want to show logs for.)
<QueryList>
<Query Id="0" Path="Security">
<Select Path="Security">*
[EventData[Data[@Name='subjectUsername']='<username>']]</Select>
</Query>
</QueryList>
If you only want to see the successful and failed logon events for a specific user, than you could modify it to look like this.
<QueryList>
<Query Id="0" Path="Security">
<Select Path="Security">*[System[(EventID=4624 or EventID=4625)]]</Select>
<Select Path="Security">* [EventData[Data[@Name='subjectUsername']='<username>']]</Select>
</Query>
</QueryList>