Even if you are privately insured, most insurance companies do not cover you for emergency visits to hospitals, found the hard way. Top hospital cover does cover some if not all of the fees, but the price is obviously high.
A small portion is refundable through Medicare, partially justifying the 1.5% levy taken through tax. However, that's only for the emergency doctor's fees, still waiting on the pathology fees.
Some advice - take a credit card with you when you go to the emergency rooms!