Hamill, 23, recorded 21 points (eight goals, 13 assists) in 41 games last season with the Providence Bruins of the American Hockey League.
The five-foot-11, 180-pound Victoria native had two assists in 16 games with the Boston Bruins in 2011-12. In 20 career NHL games, Hamill has collected four assists.
Hamill was originally drafted by Boston in the first round (eighth overall) in the 2007 NHL draft. Hamill won the Bobby Clarke trophy for amassing the most points (93) in the Western Hockey League (WHL) with the Everett Silvertips during the 2006-07 season.
Bourque, 26, registered 93 points (27 goals, 66 assists) in 73 games with the Hershey Bears in 2011-12. He is set to become an unrestricted free agent on July 1.
He is the son of Hall of Famer and Bruins legend Ray Bourque.