Find a bench, chat with a few locals and enjoy the atmosphere of Sükhbaatar Square. It's a lovely spot to take a break from all that sightseeing.
Sukhbaatar is where you'll find Sükhbaatar Square. It's free to visit, which means you'll have more money in your pocket to explore! Other worthwhile attractions close to the modern public area include Mongolian Natural History Museum, Mongolia National Park and Central Tower.