This museum tells the history of this alien species, so it's of special interest to you. It was built for the 1915 Panama-California Exposition; a two-year-long party to celebrate the opening of the Panama Canal. The building that later housed the museum was one of the few buildings intended to be permanant. Most were intended to be torn down after the party.
A poster advertises a 'Text Adventure' exhibition, which apparently describes primitive computer games. Another poster advertises a 'Project Gemini' exhibition, which outlines NASA's second human space-travel program.
To the north of the museum, you can see the Old Globe Theater; once an important cultural landmark.
To the west, what's left of the Cabrillo Bridge spans partway across a canyon.
To the east, to the side of a shady arcade, is the Alcázar Garden, where you first landed.