The “Australian” response is state based, not federal as the previous posters have postulated. Borders between states and territories have been closed to various extents - between fully closed to fully open.
Until recently, most of our covid19 cases were from outside. International airline arrivals have mandatory quarantine. They arrive in approximately one location per state. The Victorian quarantine of covid19 escaped, and Victoria imposed the restrictions that have been mentioned here by bloop and others. No other state has imposed mandatory masking. As I understand it, just about everyone is supposed to be masked whenever they leave their home (since I plan to visit there soon, I’m following the restrictions). As well, international arrivals were stopped in Victoria, until they stopped the spread. They’ve now gone 15 days without any new cases.
On the other hand, where I live has no masks, and has had no cases of community transmission for probably more than 200 days - an international traveler arrived with it 34 days ago, and another arrived 168 days ago. Where I live has limitations - social distancing, you’re only allowed to stay half an hour at the library...
My understanding is that at first, in many places, including Australia, mask wearing was discouraged for several reasons - masks were in very short supply and they were needed by front line health workers, and there was little evidence from other infections that masks would provide much protection. We now have a better mask supply, many studies have shown to supply better protection from covid19 than was originally postulated, and other protection mechanisms (including washing surfaces) provide less. This has meant that masks have become a more important implement in our anti-covid19 arsenal.