Does a governor have the right to do this? He's not a king or dictator....right?

I'm much more compliant with suggestions and recommendations than orders from someone I don't think has the right to give them.

Gov. Polis says all essential workers must wear masks
In a press conference on Friday, Gov. Polis said that all essential workers who interact with the public, such as grocery store employees, police officers, firefighters, etc., must wear masks. These can be medical or non-medical face coverings. Polis says this will be strongly enforced.

https://kdvr.com/news/coronavirus/live-blog-coronavirus-in-colorado/