In Melbourne, like any big city, driving culture is somewhat unique guided by various road layouts, traffic conditions, certain types of transport that may be unique(eg. Trams), and road rules which are slightly different or non existent elsewhere (Road Rule 34 Hook Turns).
When driving in a city you are unfamiliar with, going out with a professional instructor to first guide you may be a great idea to keep safe and familiarise yourself with the elements that make a road system unique in each big city. This may not always be possible especially for short term visitors that are legally allowed to drive with an overseas licence and are looking to hire a car for short term. A great source of road rule information to use if thats the case would be to look at youtube videos from Vicroads that have been posted regarding unique rules Melbourne has. Also, looking into the road to solo booklet available online in pdf format or to purchase from Vicroads and some news agencies can also help familiarise yourself with Melbournes unique rules.
Driving culture may need some more time to filter in however, making sure you keep an appropriate distance from vehicles will allow you to have the time to think and assess situations to gain the best possible safe outcomes for all road users including yourself.