San Jose is about 15 miles northeastward along the southern end of the Baja from Cabo San Lucas, which envelops the southern tip of the peninsula. It's a much more "Mexican" town than CSL, although it's plenty gringo-ized. Just about everyone who runs a shop or a restaurant speaks English pretty well, and we saw lots of North Americans.
Near our hotel there was a concentration of fine-art shops, which featured a wide variety of excellent paintings, exquisite (and reasonably-priced) locally made jewelry, and the best selection of Mexican pottery from all over the country that I've seen. I don't generally photograph in the shops, because it implies I'm stealing ideas, but you can see Mexican pottery in a variety of sites on the internet if you look. I do recommend you take a look at Paquime and Mata Ortiz pottery.
Here's where we stayed, the Tropicana Hotel.
The San Jose beach is about 3/4 mile south of the Tropicana. You don't swim on the Pacific side of the Cabo (Cabo means "end"); undertows and violent surf. There is some surfing along the Cabo, but it's not recommended for beginners.
View from the beach.
This guy circled the beach for a while, landed and took off.
Yes, you can still get one of these things.