The Algarve has much to offer for everyone: First, in thought of climate, although the Algarve lies beside the Atlantic ocean, it is well protected by the open Atlantic and on the edge of the straight that seperates the Atlantic and the Mediterranean sea, hence most of the year the weather here is very warm.
History: if you like history, there are many topics from the Iberian people, the influence from the continent of Africa and other countries plus the fact the discovery age (where ships set out to discover new worlds) played a large part in this region. This region has a well built modern culture/structure too!
Ocean sports: endless! the water temperatures vary from highs of about 18 degrees C to about 25 degrees C. There are many opportunities to go sailing, scuba diving, surfing, swimming, snorking, fishing...
Beaches: The beaches are wonderful along most of the coast line. Even around the south west corner of this region, you will find very nice beaches in remote areas. For the calm seas though, you will want to stick to the South. There are many interesting feature along the coast lines too such as grottoes (carved by the ocean) and more.
Land Sports and entertainment: There is golfing, horse back riding, bicycling, car racing, and many musical and arts shows. Most of the big shows would be between Portimao and Faro.
You can get to the Algarve quickest by road that enters central Algarve. The scenic drive is by the west coast (expect more time for this. Most of the drive along the coast is sheltered from the ocean by ridges or plateaus, so in most places, you need to drive off the main road by about 10 minutes to get to the ocean. Otherwise, you can also fly directly to Faro to get to this region.
You can also mix up a few trips to other countries while in the Algarve such as Morroco in the African continent.
We have many articles on places under our regions section if you want to learn more!
Enjoy your trip.