if its an expensive monitor like sony its relatively easy you just cut the film with a blade and then pill it off it takes anywhere from 20-40 minutes, try to heat it up with a hair dryer it helps a lot
if its pain your screwed, i work on my current dell monitor now for over 10 hours , nothing seem to work good enough, not ever sand paper, poly super stripe gel pain and vanish remover helps a bit but not enough... i might start using power polisher with sand paper but i have a feeling this monitor will end up in the dumbster