First of all forget about private insurance.
Australian healthcare is financed through the tax system. A combination of a 10% Goods & Services tax (GST), combined with a 2% levy on high income earners, pays for the system (along with schools). The Federal government collects the money and returns it to the states to use in building and running hospitals. Most hospitals are publicly funded from this tax. Since they are publicly funded they are not-for-profit. No-one who uses the public hospital system is charged. Everyone has access.
Fees for medical services outside of hospitals are based on a standard fee for service set periodically by the federal government. Doctors etc. may charge patients what they wish however the federal government will only reimburse a standard amount per consultation. Some doctors charge at the government rate; others may charge more. Where a doctor charges more than the set rate patients will be charged (by the doctor) a 'gap payment (a 'co-payment'). While doctors will often charge a gap payment this does not usually apply to low income patients or older patients.
Pharmaceutical products are also heavily subsidised.
Some people may also choose to buy private health insurance. This may help with early access to non-critical surgery or a higher level of hospital accommodation in a privately run, for-profit, hospital. Broadly speaking younger people avoid private insurance while older folks use it since they are more likely to need hospital services.
The take home message is that EVERONE regardless of income, lack of income or medical status has a right to free ongoing hospital care and subsidised (or free) doctor consultations, pathology, X rays etc.
There is also a heavy emphasis on preventative medicine through free vaccination, various cancer screenings and campaigns on public health issues.
OB