Troodos Square refers to a small collection of shops and accommodations high up in the Troodos mountain range (altitude 1707m).
By taxi, or car. In the summer most cars will make it, but in the winter season a 4x4 is a must. During heavy snowfall, cars without snow chains or 4 wheel drive are not permitted to drive to this altitude.
You can also get there by bus from Nicosia or Limassol, however there is only one bus a day going to Troodos in the morning and coming back on the afternoon.
On foot, or by car.
The nature, the rock formations, the views.
Ski in the winter, trekking all year round.
Souvenir shops sell the usual tourist items. Focus on the local edible products such as soutzouko.