My sconce (two light bulb fixture) has two black wires and one white wire. The wall has only one black wire and one white wire. Can I connect both black sconce wires to the one black wall wire and connect the white sconce wire to the white wall wire? Is that OK?
Sometimes these types of lights are used to indicate a status. For instance, if the bottom light is on, the patient wants a nurse and if the top light is on the nurse needs assistance. Other scenarios are that one would have a low wattage bulb used as a night light and the other would be a higher wattage for reading and what not.
You can wire them both together and run it to a single switch. That's perfectly okay.