Start out your sightseeing with a wander around the ruins of the historic San Ventura castle. It was built in 1743 to ward off pirates and is worth exploring.
There's nothing much else to see in Caleta, so take the short bus ride to Puerto del Rosario, the capital. Buses run every half hour till midnight. Here you can buy souvenirs in the scattering of shops along the main street and see the old harbour area which has a few historic Canarian buildings, as well as colourful boats bobbing about the waters.
Sporty types might enjoy watching the pro windsurfers speeding along the waters at Playa de Sotavento. Even if that bores you, the 22-kilometre stretch of white sand is a beautiful, if sometimes windy spot to soak up some rays.
Get your holiday history quota topped up with a visit to either, or both, of the former capitals: Betancuria and La Oliva which boast some quaint architecture, historic churches and several museums.
You can take a boat trip from the tiny harbour where you'll have the chance to see turtles, dolphins and whales which all inhabit the waters around these islands. There is also a shark watching trip once a week for Jaws-lovers.
Visit the sand dunes in Parque Natural de Corralejo, and while you are in the north of the island, take the two-hour boat trip to Isla de Lobos, a protected nature reserve with secluded beach and a couple of restaurants.