The Norton Museum of Art:http://www.norton.org/Museum/tabid/36/Default.aspx
More or less walkable from the hotel, this is Palm Beach County's premeire art museum. They change out their collections fairly frequently, so it's worth a stop-by while you're there. See if you can tell what's wrong with the statues of Artemis & Actaeon at the front of the gallery!
The Jupiter Lighthouse:http://www.jupiterlighthouse.org/
If you're taking the I-95 to West Palm Beach (or back out), consider stopping by this piece of old-tymey Florida goodness - if the Pepperidge Farms guy and the Gorton's fisherman got married (not yet legal in Florida), this is their dream house. It's a drive from West Palm Beach, but it's worth a stop, if just because the county really did a job in restoring this, one of the last great lighthouses in the South.
The Mounts Botanical Garden:http://www.mounts.org/
Northerners, people from the West, really anyone who doesn't live south of Orlando and has an affinity for botany would do well to stop by here. South Florida is officially a sub-tropical climate, which means during the summer, it's tropical, and in the winter it's temperate, and that means if we weren't constantly hacking away at it, South Florida would be covered in green probably within a span of two or three days. It's an enjoyable visit, staffed by friendly volunteers, and birds and butterflies abound.
The Turn of the Century Electrotherapy Museum:http://www.electrotherapymuseum.com/
Do you think Thomas Edison was a punk? I do. Did Standard Oil supress Nikola Tesla's discoveries in order to kill the electric car? Probably. Do you want to see arcs of electricty shoot through the air and make your hair stand on end? Damn right you do. This is your place.