You must have a visa for any length of stay. If you simply want to visit without working, you can get an ETA for up to 3 months online in a few hours or a different tourist visa for 6 months (up to 12 in certain circumstances).
http://www.immi.gov.au/visitors/tourist/index.htm
If you're between 18 and 30, you can get a Working Holiday visa which allows you to work anywhere at any type of job for 12 months as long as you don't work for any given employer for longer than 6 months. If you do 3 months of specified work in a regional area during your WH visa, you are eligible to apply for a second 12 month WH visa.
http://www.immi.gov.au/visitors/working-holiday/index.htm
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