Corryong to Cooma with a dog

you can go through the parks with pets but your just not allowed to stop

I was under the impression that you can stop for obvious reasons, but the pet is only allowed within so many metres of the road side.

This covers some of it:

Dogs are permitted in national parks for specific purposes. These include:
• Dogs which assist disabled people with their
disability are permitted in all parks and reserves, with the exception of Wilderness Parks and areas closed to the public, e.g. Reference Areas
• Dogs assisting police, SES or Defence Force in search and rescue or surveillance
• Dogs in vehicles which are in transit through a national park on a major through-road / route travelling on bitumen roads which pass through national parks.