This site shows the monthly rainfall and temperature (min/max) for around 1,500 weather stations across Australia, averaged over the past 20 years. Where available, the average maximum temperature is shown over a number of years.
Click on a weather station to see its historical data records.
The data is from the Australian Bureau of Meteorology's Climate Data Online page. Unfortunately this information isn't available in a GIS-ready format, so I wrote a script using Python and BeautifulSoup to download and process the records for each station.
Sorry, there's just too much to show on a phone. Try a desktop.