I'm out in Menorca at the mo staying at the folks house. The cycling is quite good here, not too many hills but rolling country instead. The island has ~5 main land owners and one of them has taken to cycling in a big way and surprisingly loads of cycle paths and routes are springing up everywhere. There are new tarmaced country roads with cycle friendly signs and maps showing routes all over. They even distinguish between road and mountain biking with signs indicating which the route is suitable for. Some roads are still a little rough in places but they are slowly getting there. I'm based in the SE of the island and at ~30 miles long its not hard to explore most of it even from this side.
The downside is its pretty hot during the day so I'm out of the door at 6am and back in time for breakfast. In Spring its very beautiful here with lots of greenery and flowers. Now in July there are fruits out on the trees for you to pick, incl oranges, limes, black currents and red currants. I hired a Specialized Tarmac carbon road bike but there are lots of mountain bike trails round the island also, next time maybe.
You can find my rides here, look for beginning July 2014.
Dave C
http://www.strava.com/athletes/421683
http://www.bikemenorca.com/cms/index.php/lloguer
http://www.velosjoan.com/index.php/en/bike-rental-menorca