"Nearby gym" refers to a fitness center or exercise facility that is located close to where you are. It suggests that the gym is not far away and is easily accessible from your current location. Full definition
Experts who Sprint note will be able to «help beginners learn the game» as well as providing more experienced players «with strategy and location of nearby Gyms and PokéStops». (androidheadlines.com)
When Burlingame High School is not available, practices will be held in nearby gyms. (sportstarsmag.com)
Ally Davidson: The night before our wedding, my sister found out that the TV show American Gladiator was holding tryouts at a nearby gym the next day. (inc.com)