If you want to study in Australia for more than 3 months you need a student visa.

Student visa gives you the opportunity to combine study with a limited time of work (40 hours fortnightly).

Tourist visa e651 is free of cost. The visa is issued for a period of 12 months with the right to an one-time stay in Australia for no more than 3 months. 

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This type of visa allows you to stay in Australia for one year; for travel, the possibility of taking up to 4 months of education and working full time with one employer for up to six months.