A soul? Probably not. But then I've never seen any evidence for souls, so my best bet is that I'm as soulless as an average brick. It wouldn't be fair of me to look down on her for lacking something I don't possess myself.
Now, the question of if she's real is an interesting one, which has been discussed to death by various philosophers. The discussion usually goes something like:
Imagine that the test subject has a wholly human brain. There's no question whether the subject is real or not. Now, replace a single neuron with an artificial one. (In this case, simulate it on a computer and put cables in her brain to connect it.) Is she still real? Is she still a human? (I'd say yes, but others might say differently. Some might even say that she lost a bit of her soul.)
Repeat the procedure until she isn't real any more, or you run out of neurons to replace. If she stopped being real, at which point was it? what's so special about that particular point? (etc.)