Olympic host cities generally don't build a dedicated volleyball-only stadium. Indoor volleyball is typically hosted in large multi-purpose arenas that also serve as home venues for professional basketball, hockey, or major concert tours the rest of the year, which is part of why Olympic venue planning tends to lean on a city's existing infrastructure wherever possible.
What Olympic organizers look for in a volleyball venue
Indoor volleyball needs a large flat playing floor, typically installed as a temporary hardwood surface over an arena's existing floor, plenty of seating with good sightlines to a relatively small court, and enough backstage and broadcast infrastructure to support a heavily televised event. Arenas already built for major sports and touring events check most of these boxes without much modification.
Los Angeles's existing arena advantage
Southern California has an unusually deep bench of large arenas already built to this standard, from long-established venues to newer additions built for other major sports franchises. That existing inventory is a real advantage for LA28 organizers compared to host cities that need to build major new venues from scratch, and it's part of why the region has been able to plan around using established, already-operating buildings for many events.
What this means beyond the Olympics themselves
Cities with strong existing arena infrastructure also tend to have a deeper bench of practice facilities, training gyms, and secondary venues supporting the athletes and events around the main competition. That same infrastructure often outlasts the Games themselves, continuing to host college tournaments, professional matches, and large club events for years afterward.
Finding a place to actually play, Olympics or not
Watching indoor volleyball in a massive Olympic-caliber arena is one experience; finding a real, accessible gym to go play in yourself is a completely different one, and usually the more useful next step if the Games get you interested in trying the sport. Local gyms, rec centers, and club facilities are a world away from a temporary Olympic hardwood floor, but they're where almost everyone actually learns and plays the game, and they're worth tracking down directly rather than assuming there's no accessible way in.