> What is the name of the song played by the Boston Philharmonic Orchestra
> during the Introduction?

Hello. The piece played is a version of Scherzo movement from Felix Mendelsshons's "Midsummers nights dream". There are many recordings of it available. And some are very close to the performance you here in the movie. Others are overly slow or quite lacking. I could reccomend the recording i have, but i'm in a foriegn country at the moment so i cant give you the details. I would suggest that you go to a music store where you can listen to various versions on headphones, before buying.