I just took down a chain chandelier. In the ceiling I have one black, one white, and one bare ground wire. The new light fixture has 4 wires two black and two white. How would I wire the new fixture?
Your new fixture has two separate groups of light bulbs in it, so it provides 2 hots and 2 neutrals to permit you to control them separately if you want to. If you don't need that feature you don't have to use it.
(The reason for 2 neutrals is to allow you to control the 2 groups from separate circuits - I for one am very fond of putting lighting on 2 circuits so if a breaker blows, you are not in the dark. Or even separate service panels; for instance an exceptionally clever person might have one group of lights fed from the panel that has battery/generator back-up.)
Combine the 2 white from the new fixture to the white from the box, then connect the 2 black from the light to the black in the box, last connect the bare ground in the box to the metal strap that the lamp hangs from, If there is no metal strap or the new fixture is not metal tuck the bare ground up in the box and mount the new fixture.