If you're a fan of live theater performances, go and see a show at Art-Voyage XXI. Look online for scheduling details.
You'll have sightseeing choices galore when spending time in Moscow City Centre. Art-Voyage XXI is an ideal place to kick off here, but there are plenty of other interesting places to discover. Red Square, St. Basil's Cathedral, and Bolshoi Theatre are not far from the arts and culture attraction and will top off your day nicely.