There is no Uber here so far. However, there are other forms of transport. There is the Karwa taxis where all the vehicles are of greenish colour. These taxis have meters in them. Then there are vehicles known as "limousines." They are operated by private companies. They usually have a sticker on the doors giving the name of the company that operates them. With these people one has to negotiate the fare or one could pay whatever they ask when you get off. They do not have meters. Lastly, there is the Karwa bus service which connects various areas of the city.
You will love to see how Doha has developed into such a lovely, bustling city.