According to Dr Daniel Joyce, a lecturer at UNSW Law:
There is no free standing right to protest, but protest is protected indirectly and directly by the law. Firstly, the common law protects protest as a fundamental right and freedom, which in combination with an interpretive tool - the principle of legality - can mean that laws affecting protest might be interpreted restrictively.
Secondly, even without a bill of rights, the Australian constitution provides indirect constitutional protection for protest - as political speech - via the implied freedom of political communication.
.. Thirdly, protest is protected in various statutes regulating police powers, public order and local government.