There are many things to do in this wonderful country!
Places to go:
Go to places like Tashkent, Bukhara, and Khiva. Tashkent is the capital of Uzbekistan and has amazing sights to see. Bukhara and Khiva which have many historical sights, are one of the most visited places in Uzbekistan. You can go to Bukhara and visit monuments like the Ark Fortress, the most ancient monument in there. Or you can go to Khiva to see the Alla-Kuli-Khan palace. But there are way more other places to go to. You can visit many cities like Andijan, Kokand, Urgut, Termez, and Samarkand.
Things to do:
You can go skiing in the snow of Mount Adelung and Mount Beshtor. If you don't like that, you can go rafting fast rushing waters or you can go hiking in hills. You can also try out their exotic food like Plov. It is made from mutton (lamb), vegetables, rice, and spices. It is the most popular food there and is definitely worth trying and its cheap. You can also try and schedule a tour for some of the historical sights.