It is possible to visit the open copper mine, the biggest copper mine in Asia, take your passport. There is also a museum of the mine.If you are there before Naadam, go and see the archers training in Naadam's field, south of the city centre. There are also a few trainings after Naadam. No training if it rains. In winter, hardly no training and, when they take place, it's inside. In springtime there are usually once a week, intensifying as national Naadam is approaching.Enjoy the soviet city centre built from nothing for the sake of the mine in the 1970's. Many buildings colors and many trees are posterior to the soviet period, as well as a few buildings with glass-wall usually banks.There is a musical fountain in the city centre set in 2009, with music at certain times.See one of the two small temples in the North of the city centre, if you've not seen any before.The countryside is close by. Just walk 20 min to the North of the city, and you'll hopefully see sheep, goats, a shepherd on horse. If, instead of 20 min, you walk 40 min, the probability not to see any is low except at night. The so-called "ger districts", with more houses than gers, is also nearby. Some families live there a semi-urban semi-rural life: following the cattle on the evening, you'll be lead to a small farm in a street. If you're lucky, you may find someone bringing back home something heavy from the city centre at day fall: propose to help him/her and you're likely to be invited to drink a tea specially if it's an adult: an opportunity to see one of these small houses with no running water but with electricity.
rent
You can rent tourism material but no vehicle at Fiable.biz, a small company managed by a French. It's possible to give back in Ulaanbaatar the things your rented.