I think what your parent meant was Australia doesn't have any explicit freedom of speech protection laws, unlike the US and some other countries. Which is true.

"The Australian Constitution does not explicitly protect freedom of expression. However, the High Court has held that an implied freedom of political communication exists as an indispensible part of the system of representative and responsible government created by the Constitution. It operates as a freedom from government restraint, rather than a right conferred directly on individuals." - https://www.humanrights.gov.au/freedom-information-opinion-a...