Axum I can only answer your last question. Yes - on the Pearl.
As the largest urban development project in Qatar, covering 985 acres and as the state's first development to offer freehold to non-Qataris, a world of opportunities is available for both individual and corporate investors. Residents have been moving in since the fall of 2009. At full build out, there will be approximately 41,000 residents living at the Pearl-Qatar, along with guests and visitors at the five star hotels and retail shops.
More here
The Pearl - Qatar
I just live there - I'm not saying buying property in Doha would be a good idea.