Great place to visit! It is pretty big, though, so plan for enough time. Plan a stay at Rocky Harbour, on the west coast, and visit Gros Morne NP. Go up to Saint Anthony's, and enjoy the whale watching, and visit L'Anse-Aux-Meadows from there. Stick to the coast as you go east, and stop for a few days in Twillingate; look up Melvin Horvath while you're there.
Brigus, on the east side, has some gorgeous scenery, and an archaeological dig which you can visit.
If you're driving, watch out for the Newfie Speed-Bumps (moose)!