Like many other businesses, there are specific regulations that will apply to your education or training business. For instance, it's worth familiarising yourself with the Australian Consumer Law (ACL) which regulates the way you represent your services to clients and customers. This law protects the interests of customers in light of unfair business practices.
Furthermore, you also need to comply with your employer obligations, such as those under the Fair Work Act. This includes ensuring your employees are paid correctly (for example, in accordance with their modern award, enterprise agreement or National Employment Standards) and maintaining a safe workplace in line with Safe Work Australia's requirements.