The gardenate website is a good start, it explains which areas are temperate, arid and so on, then you input the area you are in and it will tell you what is good to plant by month. Its main focus is vegetables.

This one seems to be on the money for what you want:

https://www.sgaonline.org.au/monthly-guides/

Advice is divided into months, and when you open up the months, there is specific information for you based on your climatic area.

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https://www.lovethegarden.com/au-en/article/what-plant-when-garden-calendar

A nifty little visual Australian gardening calendar.