We are directly opposite the University of Melbourne and only a short stroll to RMIT and Melbourne CBD.
The nearest stop to University Square is Haymarket. It's roughly 200m from the residence. You can find more info about the Public Victoria Trams here. The Haymarket tram stop is only two tram stops from Melbourne Central train station, which connects you to all train services in Melbourne.
The closest bus station is Melbourne University (when we said we were close - we meant it!). It is approximately a 2-minute walk to us, or if you want to go elsewhere, bus number 505 runs a regular service. Find its route and more info here.