Our constitution is basically an agreement by the original separate colonies (now called states) to form the Commonwealth of Australia to do specific acts as a united country rather then the individual colonies.
Thus it outlines the duties and powers surrended by the states to the Commonwealth whilst the states retain all residual powers and any questions or disputes about this is solved by the High court.
Thus the constitution does not give any rights to the people, nor does it derive its authority from them like the USA. Our only guarantee is the vote at elections for the members of parliament enabling us to toss out a government that turns out to be useless.
Peter.