Is Australia democratic or dictatorship

No, it has never been a Dictatorship. Australia is a Constitutional Monarchy where the head of state is the Queen represented by the Governor General.

Australia also is a democracy as the people have a choice of electing representatives that they find are worth of becoming ministers (a minister is a government elected person who is in charge of a specific government portfolio).

Australia also is a federation, which means that its states are united under one national government. New South Wales and Victoria were the first colonies to do this as they became self law making bodies. They found it was easier to control trade, defence and transport.