Broderick started out with the junior Toronto Marlboros and switched to the Brampton Seven Ups in 1961-62. After playing a year with the University of British Columbia Broderick joined the Canadian National Team in 1963. He stayed with the national team through 1967-68. His high point was winning the bronze medal in the 1968 Olympics and being named the outstanding goaltender. Back in the pros the following season, Broderick found his way to the Boston Bruins where he became the backup to Gilles Gilbert. He saw limited action with the Bruins as he could not dislodge Gilbert.