From the State Medical Board of Ohio:

On September 8, 2016, House Bill 523, legalized medical marijuana in Ohio.

From a June 2024 AP article:

Recreational pot sales are nearing reality in Ohio … The state Division of Cannabis Control began accepting applications [on 7 June] for new dual licenses that will allow existing medical marijuana dispensaries to also sell nonmedical cannabis.

While states with medical cannabis generally issues regulations for which patients were eligible and which doctors could prescribe, the products themselves are mostly subject to meeting lab tests for containing what they say on the label, and distributed in child-resistant packaging. Otherwise, the same stock for medical cannabis customers is about the same as for recreational cannabis.