How exciting! You are going to love it!
Also have heard the 'locals' like to leave town when the games arrive. They don't know what they are missing.
Went to the 84 summer games in LA. (Many on here probably weren't even born!) Like you, made my arrangements almost last minute. Bought our tickets through scalpers at the events & had wonderful seats. We way over paid but la dee da what an experience! Went to most of the finals. I've been many places around the world & this trip is in my top 5. I'm still friends with the gal I went with & we still talk about the trip. 28 years ago! Her DH always says ' Hey VLL, remember our trip to the Olympics! Oh wait I didn't get to go.' lol
Have a great time!