Since 1800, this is where the legislative branch of American government – ie Congress – has met to write the country's laws. The lower House of Representatives (435 members) and upper Senate (100) meet respectively in the south and north wings of the building. Enter via the underground visitor center below the East Plaza. Guided tours of the building are free, but you need a ticket. Get one at the information desk, or reserve online in advance (there’s no fee).
The hour-long jaunt showcases the exhaustive background of a building that fairly sweats history. You'll watch a cheesy film first, then staff members lead you into the ornate halls and whispery chambers cluttered with the busts, statues and personal mementos of generations of Congress members.
To watch Congress in session, you need a separate visitor pass. US citizens must get one from their representative or senator; foreign visitors should take their passports to the House and Senate Appointment Desks on the upper level. Congressional committee hearings are actually more interesting (and substantive) if you care about what's being debated; check for a schedule, locations and to see if they're open to the public (they often are) at www.house.gov and www.senate.gov.