Most likely, yes, she will grow out of it. But the only suggestion I have is kenneling her...her barking is most likely demand barking to get you to get up and play. And I imagine the combination of biting you and barking is successful in waking you up and getting you to interact with her on some level.
I suggest ear plugs, putting her in her crate, and ignoring her. You can move the crate into the bedroom temporarily if you think it will help (it sounded like your crate is outside the bedroom). Yes, it will be loud and annoying but that's just part of having a puppy. It will get worse before it gets better, but she has to learn that sleep time is not play time, and she can't expect you to get up.
I suggest ear plugs, putting her in her crate, and ignoring her. You can move the crate into the bedroom temporarily if you think it will help (it sounded like your crate is outside the bedroom). Yes, it will be loud and annoying but that's just part of having a puppy. It will get worse before it gets better, but she has to learn that sleep time is not play time, and she can't expect you to get up.