Ciudad Vieja: Montevideo is Old Town. Enter through the portal called Puerta de la Ciudadela at one end of Plaza de Independencia.
Plaza de Independecia: The square at the end of 18 de Julio Ave., with the latter being the main commercial artery of the city.
Palacio Salvo: Next to Plaza Independencia. Once South America's highest building, the Palacio Salvo still dominates Montevideo's skyline. You can take an elevator to the top at no cost for an excellent view of the city.
Mausoleo de Artigas: This large monument in the Plaza de Independencia pays tribute to José Gervasio Artigas, one of the heroes of the Uruguayan Independence. Under the monument is the mausoleum, which is open on the weekends. It contains an urn with his ashes and two honor guards keeping watch.
National History Museum: Spread between five old historic houses, holds important bits of the country's history. No entrance fee.
The sexual diversity monument, erected in 2005, is located on Policia Vieja St., between Plaza de la Constitución and Plaza Independencia. It reads "Honouring diversity is honouring life; Montevideo is for the respect of all identities and sexual orientations". It's South America's first monument dedicated to sexual diversity. Other places of interest to gay people include the Edificio Liberaij, where two gay Argentine bank robbers (featured in the 1998 movie Plata Quemada) died in 1965.
El Día del Patrimonio: On the last Saturday of September, all the museums and historical places of interest around the Plaza de Independencia open for free to the public. There is also a large "Murga," or a traditional South American parade in which all the Uruguayan political parties take part.
Mercado del Puerto: this is a covered market full of restaurants and some shops selling handicrafts. The main market is open every day during lunch hours. The restaurants around the exterior offer both indoor and outdoor seating, and they remain open for dinner.