Australia has a federal parliamentary constitutional monarchy. This means:

• It is a representative democracy where Australians vote for members of parliament to make laws on their behalf.
• It is a constitutional monarchy, with the King as the head of state, who follows the Australian Constitution. The King's powers are exercised by the Governor-General, the King's federal representative in Australia.
• It operates under a federation of states, where powers are shared between the national federal government and state/territory governments.
• The government structure is based on the British Westminster system, featuring separation of powers among the Parliament (legislature), the Executive (government), and the Judiciary (courts).
• The federal government includes the Prime Minister, Cabinet ministers, and departments that administer various government functions.
• The Australian Parliament is bicameral, consisting of the House of Representatives and the Senate.

In summary, Australia is a federal parliamentary system with a constitutional monarchy as its form of government, combining democracy, constitutional monarchy, and federation features. The Prime Minister is the head of government, and the King (represented by the Governor-General) is the ceremonial head of state.