Yes, you can work in Australia while studying. The Australian Student visa (subclass 500) lets you work while studying in Australia. You can work for 48 hours every fortnight during term time. There are no restrictions on working hours during semester breaks and vacations. You must know the conditions mentioned on your student visa and ensure you do not violate the rules and regulations.
International students in Australia have the same work rights as other Australian residents, including receiving a pay slip. You must apply for a TFN or Tax File Number at the Australian Tax Office to work with minimal taxes in Australia.
You must check your scholarship conditions for the permissible working hours if you have a scholarship. You can start working only after your study program in Australia commences.