The gyms that you will find the "OPEN WORLD OF POKEMON VORTEX" are not the GALAR league. The GALAR league is located at:
Battle> Battle in a league> The last GYM is the GALAR LEAGUE.
The gyms that are in the open world you will find thanks to this map:
https://www.facebook.com/BalberTacillaGames/photos/a.1649686965088754/3400087530048680/