This clip (about 58 secs in) could suggest otherwise...

GaGa has said:

Its not something that I’m ashamed of, just isn’t something that I go around telling everyone. Yes. I have both male and female genitalia, but I consider myself a female. It's just a little bit of a penis and really doesn’t interfere much with my life. I’m sexy, I’m hot. I have both a poon and a peener, big f***ing deal.

Is this another example of her 'kookiness' or does the woman have a cock?

Please help...

(Pic 2 - maybe, pic 3 - it doesn't look like it).