True or false

It is false. "The beautiful game" is a widely used term for the game of football* in general, not just when played by girls.

*"Soccer" in N. America

Just because some describe soccer/football as the beautiful game doesn't necessarily make it true. By the same token, the statement above is true if the person who spoke it believes it to be so.

Maybe this is what that person had in mind.

http://www.youtube.com/watch?v=5pggtG3Oe-E

Of course it doesn't, whether something is beautiful or not is altogether a matter of opinion, but it is a matter of fact that the phrase is in very common usage in the non-US part of the Anglophone world.

http://en.wikipedia.org/wiki/The_Beautiful_Game

Then perhaps it should have been:

"The Beautiful Game" refers to . . . .

No "perhaps" about it.