Scanning tunneling microscope images of submonolayer to monolayer coverages of C60 on cleaved 2H-MoS2 (0001) surfaces show unique adsorption and initial growth patterns that are not observed with similar coverages of C60 on metal surfaces. Intramolecular contrast of the adsorbed C60 show both the local density of states of the molecules and underlying crystalline lattice features and is sensitive to the applied bias voltage. While the interactions between the adsorbed C60 and MoS2 surface are found to be essentially van der Waals, more reactive processes upon adsorption are evidenced by the observation of locally ordered, 1-nm-sized features (craters), with reversed contrast to those C60 that are bound to the substrate via van de Waals interaction. These interactions and the mechanism of the voltage-dependent intramolecular contrast will be discussed. These results will be compared with those obtained on metallic and other semiconductor substrates.