No one is being forced to vaccinate. There will come a time that you will have problems of access to places and jobs without appropriate vaccination. This is entirely legal, like mandating safety equipment or already as vaccinations required for day care attendance etc. Things that are required by basic rights will not be able to restrict, such as access to basic health care (hospitals). But a shop/doctor/airline/library/restaurant etc etc... could place requirements to be vaccinated to enter.
https://business.gov.au/people/customers/refuse-service
Right of refusal of service is acceptable for safety grounds, and also comfort of other clients. You could refuse entry to someone that is physically offensive in odour.