The biggest costs for me were the flights and visa. You can find more information about the visa at https://www.australia.gov.au/information-and-services/immigration-and-visas . It can take up to 2 months to receive the visa, however I got mine one day after sending in the application - you should still mot count on that!
Accommodation in Australia can be quite costly. I stayed in a shared student house and paid 180AUD/week so around 5000kr/month. I would say this was the average price for a room near the city or campus. Public transport was also quite expensive as there was no possibility for a monthly card and I had to pay 7 dollars (45kr) every day just for the bus trip to campus and back. However after 8 weekly trips you will pay half price so you can travel to Sydney during the weekend for around the same 45kr. I decided to buy a bike that I could use for shorter trips, even though Newcastle was not very bicycle-friendly city as most Australians like to drive everywhere.
Food and other supplies are a bit cheaper than in Sweden. For example on campus you could bigger lunch for 10 dollars (65kr) or smaller pastries and pies for just 2 or 3 dollars. They have 3 different grocery stores: Aldi, Woolworths and Coles, Aldi being the cheapest.