Hi Claire,
We stayed there a couple of years ago and going back again in Sept. We were in the apartment downstairs (2 bedrooms) so don't know what the studios are like but would assume similar. There is everything you need for basic cooking, eating, drinking etc but I don't bother with more than a coffee when I'm on holiday, so don't know about the little cooker! I don't think they have air con but you can hire fans.
It's in a lovely little spot, nice and peaceful but so close to everything you need. The Rainbow complex is brilliant and the food is all freshly prepared and really lovely.
I'm sure you'll enjoy!