In the past, it has served as a branch of the Royal Bank of Scotland, a library and the Royal Exchange. For the latter, it was renovated in the mid-19th Century by famous Glasgow architect David Hamilton. The gallery features themed exhibits all year round, as well as housing pieces by famous post-modern artists such as Andy Warhol and David Hockney, and Scottish artists such as John Bellany and Ken Currie. As well as an exhibition space, GoMA is also a learning centre, with regular classes, including a Saturday morning one for families, and free internet access. 

The museum is perhaps most famous for the equestrian statue of the Duke of Wellington that stands proudly outside.