Gravity-
I can tell you what it does, but not what it is.
Matter has mass. Mass distorts space. That distortion is gravity. A "wrinkle" in spacetime. Here is a little thought experiment. Take a trampoline and roll a golfball across it. The ball travels in a straight line. Now put a bowling ball in the middle so that the surface is deformed. Now roll the golfball across again, but near the bowling ball. The little ball is deflected and no longer travels in a straight line. If you roll the ball slow enough or close enough it will spin around it and fall into the larger object. This is due to rolling resistance of the surface.
Now imagine that the larger ball is the Sun, and the smaller a comet passing by. The surface is spacetime. If the comet travels fast enough, then it escapes the solar system. if it is slow enough it falls into orbit. It does not fall into the sun unless it is aimed right at it, because space has no rolling resistance.
This is the Einstein's General relativity simplified. Now WHY does this happen? No one has the foggiest idea. Why is completely different than how.
The problem with even this is that gravity is one if the four fundamental forces of nature.
They are for completeness,
Gravity
Electromagnetism
the Weak Force ( which mediates radioactive decay)
and the Strong Force (which holds atomic nuclei together)
There are quantum theories that explain all the above (except for gravity). At an absurdly simple level, each force consists of a field and an associated mediating particle. In the case of electromagnetism. it is the electromagnetic field and the photon.
So for gravity we have a field and a postulated particle, the graviton.
Now for the problem (one of several actually) How do you reconcile General Relativity's explanation of gravity, and that of any Quantum Gravity theory (which really doesnt exist in any verifiable theory) In other words, how is a particle identical to the curvature of space? Again no idea.
Anyway, that is where physicists are.
Someone mentioned gravity causing the universe eventually to contract. This not automatically true. Say you are Superman and have a ball. You toss it in the air at say 100 MPH. The ball reaches a maximum height and then returns to earth. But suppose Superman has a special ball which is immune the heat generated by moving at extreme speeds through the atmosphere. Now he really gives it a good heave. He tosses it at 100,000 MPH. When does the ball return? Never. That is because the energy imparted to the ball exceeds the gravitational attraction of the earth. It reached the escape velocity of the earth (in fact by quite a lot). Likewise, if the amount of energy imparted to the universe exceeded the total attractive force of creation, then the universe expands forever. More recently, there has been shown good evidence that the expansion is self fueling and something amounting to antigravity exists. If true, then not only will the universe expand, but at an increasing, not decreasing rate.