You'll need to screw the frame to the wall, if it's a stud wall then you'll catch about 3 uprights I'd imagine... Might be worth cutting a large piece of 12mm ply wood across the width of the frame screwed directly to the wall with as many beam fixings as you can get, you could then fix your TV mount to this (make sure you get some screws through the mount, plywood and into beams as well as into the ply)..
32" tv should be relatively light
Bear in mind you'll ideally want a slim flat-to-wall type hook mount else you'll have to build the frame out quite far from the wall which won't look as good.
Hope that helps a little and good luck