In the Book
In the Movie
Forrest attends school with Jenny for the first grade, but is then put in a special class because of his low IQ. He then sees Jenny again when he is in High School and a star on the football team.
Forrest's mother has sex with the school principal so that he can attend the same classes as the normal students. He is with Jenny all the way through school.
Forrest joins the football team as a 14 year old. He is very good. He goes to the principals office where he meets Bear Bryant from the University of Alabama. He asks him if he wants to play football in College.
Bear Bryant is at Forrest's school watching the team play. Forrest is not on the team. He is being chased by bullies in a truck and turns onto the football field. He passes the quarterback just as he releases the ball and reaches the wide receiver as the ball arrives. Bear Bryant is amazed by his speed and asks who he is.
He gets fed up with the kids bullying him and punches one of them in the face, then runs off.
He runs away from his bullies, his callipers break, and he doesn't need them anymore. (he doesn't punch any of them)
Forrest says "Being an idiot is no box of chocolates."
Forrest says that his mother always told him, "Life is like a box of chocolates. You never know what you're going to get."
Forrest runs for the U.S. Senate. After a speech he is asked a very tough question, and his reply is, "I got to pee."
He never runs for the Senate.