Gaudreau, from Carney's Point, N.J., won the award a day after Boston College lost to Union in the NCAA semifinals. He passed up with senior season to sign with Calgary.
The 5-foot-7, 150-pound forward led the nation with 36 goals and 44 assists. He's the first player to reach 80 points since Colorado College's Peter Sejna had 82 in 2002-03.
Union will play Minnesota in the championship game Saturday night.
The Flames also signed Boston College forward Bill Arnold. Arnold, from Needham, Mass, had 14 goals and 39 assists as a senior.