Based off the book Ender's Game, Free Play is the mind game that Ender plays more than once on his desk.
If you've only seen the movie, it won't make sense because the Mind Game in the movie is completely different, so it will make no sense.
If you've read the book, I hope I've made it as close as possible to the book, but I based it solely off of my memory and didn't reference the book at all (probably a mistake), so if it's a little off, I'm sorry.