The Bundeshäus is the home of the Swiss Federal Assembly and was built at the the turn of the 20th century in an imposing Florentine style.
Inside, there’s a beautiful stained-glass dome featuring the coats of arms of Switzerland’s 26 cantons (counties). Despite Bern’s status as the capital and the high number of people working in government bureaucracy, the atmosphere around the Bundeshäus is surprisingly laid-back. When the parliament is in recess you can even take a free 45-minute tour (usually in two languages; sign up the day before and bring your passport for ID). When parliament is in session, you can watch proceedings from the public balcony.
Outside and in front of the parliament is Bundesplatz, a large public square with an open water feature — 26 (again, the number of Swiss cantons) jets of water (illuminated at night) and wildly popular with kids on hot days.