Is there anything similar for Australia?
Sadly, I don't think so. The Australia BOM is quite protective of their data via copyright and terms-of-use for third-parties. That includes
their weather radar images and weather/alerts data.
The api.weather.gov (source of the data) is all Public Domain by law, so can be freely reused.
Let me know if there is a freely available source for Australian data and I can take a look.. At present, I don't think GRLevel3 can use Australian radar outside of subscription sites like AllisonHouse feeds, but I could be just uninformed.