do JUST the dino fossils suddenly stop, or is there a complete lack of fossils for some period around the 65 million year mark?
There are fossils of some sort throughout. After the K-T Boundary, the fossils are mostly smaller land organisms, such as birds and lizards and small mammal-like animals.
However, since birds are descended from Dinosaurs, and cladistically, animals can't evolve out of their clades, we have dino fossils and bones through to today, In fact, a nice bright red dinosaur likes to hang out in the brush behind my house during the spring/summer months.