Verified answer

Yes, it appears that Australia does have hate crime laws, outlawing actions that promote racial hatred.

However, as of June, at least one Australian province (Victoria) was considering a proposal to toughen its hate crime legislation by adding consideration of hate crimes as an aggravating factor in determining a criminal's sentence. In other words, harsher sentences could be handed out to convicted criminals if a court finds that, for instance, racial hatred was a motive for a crime. So it does not now appear that this factor is part of the law everywhere in Australia, which I believe is what you are asking about, specifically.