Freesync does the opposite, it unlocks the refresh rate of the monitor so that it syncs with the output from your GPU
when your game is running at ,lets say, 56 fps, freesync will try to match the refresh-rate of the monitor to the fps of the game
Your monitor however can not push out extra frames when your game might over 60.
if you have a 60hz freesync monitor dont expect it to suddenly give you more than 60Hz.