We go back and forth here from naps to no naps, though she does go in her crib pretty much every day for some not-so-quiet quiet time or for an actual nap.
In the AM when she wakes, she comes and hangs out with Mommy and Daddy for awhile, then one of us (usually me as dh is off to school) will bring her downstairs and give her breakfast. She alternates between playing with her Legos, trains, etc until dd2 goes down for a nap. We usually try to go outside then or do something artsy that dd2 is too small for - markers, paints, play-doh. Depending on when dd2 is up from her nap we sometimes run an errand before lunch, sometimes it is just time for lunch. After lunch we generally play with Little People in her room and read some stories, followed by her nap or noisy quiet time.
After that, there's generally some TV watching -- depending on whether or not dd2 is napping again, I'll take them for a walk in the stroller, go outside, or run some errands until it's time to make dinner, when she generally watches TV so I can actually cook. After dinner, she plays with daddy.
She's relatively good at playing by herself, though she does need some one-on-one play during the day periodically.