For an awesome view of the region, make your way up to RDU Observation Park. See if you can spot any famous landmarks in the distance.
You'll be spoiled for sightseeing choice when staying in Morrisville. RDU Observation Park is a good place to kick off here, but there are plenty of other fine sights to enjoy. Brier Creek Commons, Frankie's Fun Park, and The Umstead Spa are near the scenic viewpoint and will fill in your day nicely.