There are loads of activities to do in Cyprus. As well as the usual things like snorkelling, scuba diving, wind surfing etc there is lots to see. You can go walking in the Troodos Mountains,(ski-ing as well!)shopping in Nicosia(if that's your thing) and visit monasteries and other local places of interest.
Any idea where you're going to be staying?
You also asked about the place generally. It is fairly 'British-ised' if that's the right word. 3 pin plugs, drive on the left and the tap water is safe to drink.