Under the following titles you will find links to Government rules and regulations for keeping bees:

Australian Rules

National Honeybee bio-security code of practice: https://honeybee.org.au/programs/code-of-practice-and-national-bee-biosecurity-program/code-of-practice

State Rules

ACT: https://www.accesscanberra.act.gov.au/app/answers/detail/a_id/608/~/bees

QLD: https://www.business.qld.gov.au/industries/farms-fishing-forestry/agriculture/niche-industries/beekeeping/nuisance-bees

NSW: https://www.service.nsw.gov.au/transaction/apply-beekeeper-registration

VIC: http://agriculture.vic.gov.au/agriculture/livestock/honey-bees/compliance-and-management/hobby-beekeeping

Council

Ask your local council for further information.