IMDb says it's The Firebird Suite For Orchestra - 1919 version - Written by Igor Stravinsky
Firebird is one of those "overused" pieces that many figure skaters have performed to over the years. As a result, every time a competitor uses it, the critics compare their performance to those that skated years ago. It's unfair, but human.
You can check with one of the music-editing services about the specific recording used in the movie's soundtrack. They might have a copy already cut to the right length.