At the start of your descent, your acceleration towards the center of the earth would be the standard 9.8, but the further you go down the hole, the more mass you leave above you. As this happens, your acceleration will decrease to zero when your body reaches the earth's center of gravity, at which point your body will be pulled in all directions equally (in an ideal world). However, once you reach that point, you will be moving fast enough to go right past the center of gravity and start to slow down due to an increasing pull of gravity in the direction you just came. I think after that, you would just go up and down for a while but eventually stop at the center of gravity if the tunnel had air in it.
This is all a guess by the way.