You can visit Grodno without having a Visa!
You also have a good opportunity to visit Grodno for 10 days without visa crossing the Polish and Lithuanian border at the certain checkpoints. For detailed information look here http://bezviz.by/en/.
Information on visa-free travel via the checkpoint "Minsk National Airport"
According to the Presidential Decree, effective from July 27, 2018, foreign citizens of 74 countries can enter Belarus for up to 30 days and exit from the territory of Belarus only through the State border checkpoint of the Republic of Belarus "Minsk National Airport". You can get more information at http://mfa.gov.by/en/visa/visafreetravel/e0ced19bb1f9bf2c.html.