Thanks for your question. If you're asking about the power of Australian Government over individual Australian citizens, there are a number of ways this can be explored. As a starting point, the government has certain powers, and citizens have certain rights and responsibilities.
Some rights and responsibilities of citizens are defined by Australian and international law; others are not. The main organisation that deals with human rights in Australia is the Australian Human Rights Commission—this might be a good place to start your research.
If you want to know about responsibilities and Australian citizenship, take a look at the Department of Immigration and Border Protection's webpage: Learn About Citizenship.
Sections 51 and 52 of the Australian Constitution describe the law-making powers of the Australian Parliament. These areas include trade and commerce, taxation, currency, marriage, communication services and immigration.