Just about everything that Lady Gaga does is over the top and theatrical, so it makes sense that her life story should be made into a movie.  According to the Hollywood Reporter, Lady Gaga said,

"I think at some point, yes. I think I’m sort of destined for that screen at some point,"

If her life is made into a movie she would like Marisa Tomei to play her because she is such a huge fan of hers.

"All my friends call me Marisa when I get angry. Because my New York accent just flies out of my body and I start smacking my gum."

Lady Gaga goes on to describe what her second voice is...read more about it here.