The outlet box has 2 black wires capped together, 2 white wires capped together, 2 bare wires capped together, and a single red wire. The light fixture I want to install is a two bulb fixture that has 2 black wires, 2 white wires, and 1 bare wire.
It is obvious from the question that you have zero knowledge of wiring. While this is an extremely basic thing to do, I think it is better to get a professional so you and your house will be safe. Electricity is too dangerous to do without even the most basic understanding of safe procedures and standards. You will get people telling you how easy this is, but I would rather have you safe than try this your self.
The wires on your ceiling fixture are called ROMEX. This is the big casing that has two insulated wires and one bare wire. The bare wire is the ground. The romex coming into the box comes from the source and the other comes from the switch. Black is HOT coming into the box from the Romex that has only the black and white wires. To be sure about this, take the cover off the switch on the wall and see what wires are present there. This might show that a three way switch is installed somewhere if there is two switches that control that light. As far as the light fixture that you have, connect the two white wires and the two black wires together and then one of those pair goes to the white wires in the ceiling box and the other goes to the red wire.
