Plaza Constitución is a popular meeting place. Full of life, enjoy a wander around or simply sit back on a bench and get a feel for local life.
You'll be spoiled for sightseeing choice when in Montevideo. Plaza Constitución is an ideal place to start here, but there are lots of other worthwhile sights to check out. Centenario Stadium, Tres Cruces Shopping Center, and Port Market are close to the modern public area and will fill in your day nicely.