What would cause the gas pedal to stick intermittently when attempting to accelerate from a stopped position?

Dirty linkages at the carb/fuel injector, linkages being the throttle cable. Cable could be crimped or bent or misrouted causing it to kink slightly. Possible replacement of a return spring.

Option 2

Sometime you can get a bad enough carbon build-up in your throttle body causing the butterfly to stick. especially if your revving kind of high and quick let your foot off the gas, it flings back and gets stuck in the sticky carbon. Either go to a auto store and get carb/throttle body spray or go to your local shop and get an injection cleaning done..