Your puppy can explore your garden straight away as long as it’s safe (check those fences!), and as long as your vet says it’s fine and the garden isn’t used by unvaccinated dogs. With that said, it’s a good idea to wait until a week after their second vaccinations before taking them out for walks.
It’s important to make sure you follow your vet’s advice on vaccinations and on taking care of your puppy before they’re fully protected. Diseases like distemper and parvovirus can be devastating for pet parents should they fall ill before they’ve been vaccinated.