Career
Aberdeen
Brewster made his Aberdeen debut in a game against Celtic in 1913. After playing over 100 games for Aberdeen, he moved to Everton in 1920. Everton
After signing for Everton for what was said to be a "record fee", Brewster made 68 appearances for the club, before joining Wolverhampton Wanderers.
Wolverhampton Wanderers
Brewster joined Wolves in 1922 and left after just 16 games.
Later career
George Brewster went on to play for Lovells Athletic in Wales, Wallasey Athletic, Brooklyn Athletic in New York (March–June 1924), and had a spell as player/manager at Caledonian. Brewster was capped once for Scotland on 9 April 1921 against England.