Not sure what tips to give, generally. Music, food, and art culture in Melbourne is absolutely superb. If you're going out for coffee and food or something, try to steer away from franchised joints if you can. Not that they're bad, but Melbourne's cafe and restaurant scene is incredible. Going out for brunch wont just net you the best coffee and food, but it'll support local businesses.
Drinks are generally expensive in Australia compared to a lot of other places in the world. If you like beer we have an excellent microbrewery culture, so lots of varieties and options across a broad palette. Great wine too, along with gin, of which there appears to be a bit of a craze.
Lots of places to visit for a night out. I could recommend some but you're honestly best off checking out some guides on best places to eat/drink in Melbourne and going through yourself. If you enjoy vegetarian and vegan food there's some incredible places, particularly in the Northern suburbs. Melbourne in general is so multicultural we've exceptional cuisine from all around the world, sometimes in the weirdest place.
Geographically the general rule of thumb is;
Northern Suburbs = trendy, hipstery, live music, cafes and pubs
Eastern Suburbs = wealthy, huge population, residential
South Melbourne = bit ritzy, but very active nightlife and food, clubs, shops
Western Suburbs = industrial, more developmental the further out you go, great African food
Myki for transport. But if you've got an Android you can use Google Pay to have a virtual Myki, and just use your NFC phone chip to touch on/off.
Metro trains for local transport. VLine for rural. Victoria is so fucking small you can be in rural towns in an hour and a half, or less, on a VLINE from the CBD.
Astor Cinema in St Kilda for screenings of not just modern films but classics. Great way to have cinematic experiences for favourite you might have been too young to see in a theatre.
