HI , I'm looking for the size of the mounting bolts that would be required to mount a 32 inch Sony LCD TV.

If you are talking about the mounting screws that go into the back of the television to mount a VESA sized wall bracket, then it's most likely 5mm screws. The length of the screws could differ, depending on the bracket you are attaching, but usually 12mm or 16mm can be used. just make sure that the screws are long enough to thread into the TV completely, but not too long, or they may damage internal components.

If you are talking about the Lag screws needed to mount the bracket to the wall, then use 3/8" width lag screws 2 1/2" to 3 1/2" long, depending on how deep you have to go before hitting the wood stud.