You will need to be registered or enrolled with the Nurses Board of Victoria.
There is a contact us link at this address, on the left hand side bar
http://www.nbv.org.au/
Theres some info/link about coming to Australia as a nurse on this page
http://www.health.vic.gov.au/nursing/career/registering
Im in South Australia... so cant really help. I love Melbourne though, its prob my fave place other than here... Go check out St Kilda, I love that place!
Good luck.