One of the great side-benefits of museums is, like libraries, they tend to be well air-conditioned—so, if you’re feeling the need for a dose of culture and learning in a climate controlled environment try visiting one of these free local museums:
Admission: I’ve never actually been inside the Capitol building (although I love the arboretum and rose garden)—but evidently the whole thing pulls double duty as our seat of government and a free museum! http://www.capitolmuseum.ca.gov/
On-site Task: Many Governors sport facial hair in their official portraits (displayed throughout the building)—who has the most luxuriant beard? My money’s on William Irwin (1875-1880).
And if you are, as Jessica says, a “child owner” consider reserving one of the Checkout Science Kits at the Sacramento Public Library–each kit comes with great science project instructions and a one-child admission to the Lawrence Hall of Science. Also at the library: free children’s admission to the Crocker Art Museum is possible when checking out a Crocker Art Pack and passes to the Sacramento Children’s Museum are available at the Rancho Cordova Library on a first-come, first-served basis.