It's too hot now but around Easter it's perfect, especially if you pick a nice hotel with a good beach. I prefer staying in Doha to Dubai for short breaks except for the disgraceful taxi system here. Why would a tourist want to wait 15 days and 6 hours for a taxi?

There is plenty to do and most of it is free. The exchange rate is not on your side at the moment though, last summer it was 7.8QR to the £, now 5.8QR. Still, eating out is relatively cheap and you will feel genuinely safe going out and about, very little crime means that you can really explore.