Arts Centre Melbourne is the umbrella venue that houses the Hamer Hall, Playhouse, Sidney Myer Music Bowl, State Theatre and Fairfax Studio, as well as various exhibition spaces. At the centre of the precinct is the spired building housing the State Theatre, Playhouse and Fairfax Studio.
As a general rule the venues stay open an hour after the last show of the evening so until then you can view any of the exhibitions at your leisure. The Sidney Myer Music Bowl is home to the biggest outdoor events including Carols by Candlelight, festivals and huge international acts while the State Theatre is the premiere venue for large scale productions, symphonies, ballets and all things highbrow.
If you're looking for a pre-show drink and/or meal, try The Barre, in the Theatres Building.