The Maryland State House is the oldest state capitol still in continuous legislative use. It is also the only state house to have served as the nation's capitol. This is a good starting point in Annapolis for introductions to Maryland history. There are also some interesting architectural features that include a Tiffany-style skylight in the Senate Chamber and acorn flagpole pedestal on top of the dome.
This building is open to the public every day, 9am-5pm. Self-guided tours are free and curated tours can be arranged by appointment.