"Unlimited access" means having the ability to use or get something as much as you want, without any restrictions or limits on how much you can have or use. Full definition
If you like what you see, it's easy to continue onto a full subscription where you'll get unlimited access for as long as you choose to remain a member. (totallygoldens.com)
For the experiments, one group of mice was given unlimited access to a running wheel and a second group had no running wheel. (sciencedaily.com)