You can ask it in Basic Scuba if you like, or maybe this is enough. Let me give you the basics right now. I am going to assume that your object at 1,000 feet is inflexible, like a hollow bowling ball. If it is flexible, like a balloon, it will be thoroughly crushed.
It comes down to two things: weight and volume. It does not matter if it is hollow, except for the degree to which its being hollow affects its weight. If it is inflexible, the depth does not matter, either. If it is flexible, the object will expand as it rises, so it makes a big difference.
You measure the volume, and you measure the weight. Then you compare those figures to the weight of that volume of water. If the object weighs less than that volume of water, it will rise to the surface. If it is more than that volume of water, it will sink.
In order to raise an object that is heavier than water, you attach something to it that is lighter than water, so that their combined weight and volume are less than water. This is typically done with a lift bag, which is essentially a balloon that you inflate until it has enough air volume to raise the object to the surface. The technique used depends upon whether you want it to rise in a controlled fashion or rocket out of control to the surface. If you put just enough air in a lift bag at 1,000 feet to get the object rising, the air in that bag will expand to about 31 times its size by the time it reaches the surface or else be so full it will be bursting as it ascends, so you will want to have a way to vent that expanding air.