As I understood, it's very simple game. It may even not be treated as a real "game".
There's a matrix of cells, and cells can be live or dead. You set up a matrix (decide which cell is live and which one is dead) and then you start the game.
Then you have nothing more to do. Game has 4 simple rules about creating new cells, destroying old ones, and by that a matrix changes all the time, and you can watch :)
Actually it can turn into a game, there a ae many different arrangements of cells in the game of life, which have different names, sch as glider -- these will move in 1 direction continually untill another live cell interupts this.
Many appterns can be created to do many differents things, there are very large patterns that have been designed to create different patterns continually.
Also from what i know the Game of Life can be researched greatly by algorithms and alot of time is spent investigating these algotihms. In actual fact the fastest way to make the largest number of cells live was found by a computer algorithm