If you're planning a bit of sightseeing head to Teleposta Towers— just one of the monuments in Nairobi Central. You could also start your cultural experience by heading over to the museums in the area.
If you like art, you might want to browse the collections at Nairobi Gallery in Nairobi Central. If you want to see more of the art galleries in Nairobi, Banana Hill Art Gallery isn't far either.