If the role of Prime Minister, Cabinet and political parties aren't recognised by the Constitution, are these roles recognised in legislative Acts?
Thanks for your question—it’s a great one!
It’s true; the Prime Minister and Cabinet are not mentioned in the Australian Constitution. In fact, the Constitution does not cover all aspects of how Australia is governed. Many aspects of our system of government operate by tradition, similar to Britain.
The Prime Minister and Cabinet are mentioned in Australian laws – legislative Acts. Sometimes their powers and responsibilities are described but only as it relates to specific duties, rather than defining their overall role. The role of political parties are not defined by laws.
The Cabinet in session

Office of the Prime Minister
Description
Cabinet is a group of senior ministers in the government including the Prime Minister. The Cabinet are sitting around a large wooden table in the Cabinet Room having a meeting. In Cabinet meetings, ministers decide on government policy and national issues.