Vogue Shopping Plaza (aka 670 Chapel) in Melbourne offers a private nursing mother's room on the second level. The nursing room has a comfy chair, foot stool , curtain for privacy, changing table, sink, microwave and kid friendly toilets.
If you are shopping with family or friends this parents room has a comfy waiting room available for them to sit.
In Australia - The Sex Discrimination Act 1984 (SDA) makes it unlawful to discriminate against a person because of their sex, gender identity, intersex status, sexual orientation, marital or relationship status, family responsibilities, because they are pregnant or might become pregnant or because they are breastfeeding.
A woman has the right to breastfeed in public places, where ever she is allowed to be with without harassment or discrimination. This includes using a breast pump or expressing milk by hand.