How can I execute a FQL query with Facebook Graph API

Here’s an example of how to do a FQL query using the Graph API and JavaScript

FB.api(
        {
            method: 'fql.query',
            query: 'SELECT uid, first_name, last_name FROM user WHERE uid = ' + someUid
        },
        function(data) {
            //    do something with the response
        }
);

This assumes you’ve already setup your page according to the Facebook guidelines as shown here – http://developers.facebook.com/docs/reference/javascript/