How would a person remove the speed governor on a 1996 Pontiac grand am gt 2.4L 5speed?
There is no 'governor' in the normal sense. Both the engine RPM and Vehicle Speed are limited by the engine computer. There may be some 'Speed Chip' solutions to remove the speed limiter but, the 96 has a 'Flash' program, not a removable/replaceable module. You would either have to send it out for re-programming or a buy a second ECM (Engine Control Module).
The governor is in the pcm of the car. You can buy or borrow a powertuner to hook up to it and remove the governor (and to do other things). Or you can buy a "canned" or "tuned" pcm from different places (zzperformance.com and wbodystore.com to name two) wich have the most popular features already built in, including the governor being removed.