I live in Dubai for last 12 years
In 2 days you can go lot of places in Dubai.
If you are out door person, you may enjoy the full day desert tours. But be careful when you select a desert tour operator and tours. Most of full day desert tours advertised are not really full day desert trips. They are mixed of some mountain trip in Hatta, heritage village visit in Hatta, lunch, 30 mins of desert drive , desert camp activities ( Camel ride, Henna painting, Arabic costumes, belly dancing and BBQ dinner).
Take a big bus tour for a day. You can visit some good places at your own pace.
Tell me what do you like and what do you expect in Dubai. Based on that I will recommend some cool places for you.