Good Will Hunting is a credible story that is similar to real life and events. It tells the story of a man, Will Hunting, who is a little rough around the edges but is a genius.  He was an orphan that came from a abusive home.  This kind of background for a character gives a strong emotional effect to the viewers.  The film takes viewers through the transition of him being closed off and slightly violent to being open and focused.
The title of Good Will Hunting names the theme of the movie. There is no other significance to it.
This film has a linear structure to it.  It introduces us to the characters Will Hunting, Chuckie Sullivan, Morgan O'Mally,  Billy McBride, Prof. Lambeau, etc.  Then it is onto the conflict of Will Hunting being smarter than average, but having no direction in life.  He needs to overcome his past before he can move to the future. 
This was an internal conflict in the film. An internal conflict centers on an interior, psychological conflict with in the central character. (The Art of Watching Film, pg 59)  The character of Will Hunting is characterized through external action.  He is misleading with the fight at the beginning and his bad attitude.  Also when he refuses to get close to Skylar and tells her he doesn't love her. 

The main characters of Good Will Hunting are developing characters.  There were changes not only in Will, but also in Sean Maguire.  Sean decides to take off, put his chips on the table and bet again. He seems inspired by Will Hunting.  There is also a lot of  Irish symbolism in this film. The names of the characters, the place, Boston, music, and you will also see shamrocks throughout the film. 

The irony of the character, Will Hunting, is that you have a man who is afraid to be left and in the end leaves a letter for Maguire reading, "Sean, if the Professor calls about that job, just tell him, sorry, I have to go see about a girl."  They make you think he is going to take a good job, and then turns around and goes after what makes him happy.