Beautiful! The apartment is quiet, with magnificient views to the ocean AND the mountains, and a terrace on two sides of the apartment. The garden is beautifully maintained and everybody at the place was really helpful with tips for restaurants and markets.
You can both reach Taormina centre (up the mountain for 15 minutes) and the beach (down the hill for 10 minutes) by foot.
We really enjoyed our stay. And yes, it has no aircondition, but ventilators in the bedrooms made it quite a unique experience. :)