Both of my kids did this around the age of two. It is normal I think as they are so excited for all the new things they know to do and don't want to miss anything! :)
Not helpful I know.
My suggestion is get black out shades so the sun doesn't wake her up. Then get a few books and make a very firm rule if she wakes up and can see she can flip through her books but is not to get out of bed until you get her. Period.
It will be an adjustment too with a new baby she will maybe wake up when the baby does or she hears you getting up with the baby. A lot is going on for her.
My son was waking up at 5:30am and it was exhausting! Now thankfully he does the 12 hours straight!! Some mornings he came into my room and fell back to sleep which was great! He shares a room with his sister so my rule was, you HAVE to get back into bed, lay there with your eyes shut but would tell him he didn't have to go to sleep, 80% of the time he fell back to sleep though. We don't have many issues anymore with this. He needs 12 hours at night and doesn't nap. Now he is almost five and the rule is if we are all asleep, he gets up to pee, doesn't flush so not to wake anyone up, he has to go back to his bed and be quiet until it is time to get up. It works some mornings, others not so much. Then there are mornings I have to drag him out of bed! :)
With a new baby coming it will be hard setting anything up to really work well. Try the black out shades, allowing her to read books in bed if she does wake up but has to stay put. Also give her an earlier naptime too. With a newborn, they take so many naps during the day maybe if you give your daughter earlier lunches for a while and lay her down earlier when the baby does then you have some downtime maybe. Then maybe too she will be more tired at bedtime and more able to sleep all night without waking. Being overly tired can backfire I learned the hard way! Hang in there, CONGRATS on the new baby! So exciting!