It is a draw, here is one account, here is a link to the moves and other background. Kasparov had a clear edge, in my view, but was unable to convert his position into victory. The computer played its typical perfect defense and Kasparov’s advantage slipped away entirely. They then settled for a draw by perpetual check.
Bottom line: This has to be heartening to the computer fans. Kasparov can’t expect many better chances to win. Three more games to go, and now the computer has white.
Addendum: Here is an easier link to the moves, with quality analysis. I would have played 21. Q x c6, more resilient than it looks, instead of Kasparov’s 21. Ng3.