We've had a bedtime routine since I brought him home, but it's not always the same time or anything. You might have to help your LO get nights & days straight but she'll probably still wake some. Just maybe settle straight back to sleep at night.
Eventually yes she'll probably learn it on your own. However, there are many ways to gently encourage good sleep habits when it's age appropriate. As parents we tend encourage and celebrate other milestones, and I don't think it's any different to parent them in regards to sleep.
However, in the early days, it's good to remember that babies sleep the way they do for a reason. It's a great protection against SIDS
. Also, they go through lots of growth spurts in the beginning, so for a while it really will seem like they are on the boob all of the time! Lastly, (personally) I think it's more important to encourage good sleep habits like teaching them how to fall asleep on their own, rather than be worried about how long they sleep. It won't happen overnight, and there are ways to do it without letting them cry a bunch, but overall my goal is to help him have a positive outlook at going to sleep on his own.
Not saying that we've got there yet! He's almost 12 weeks but I still have a hard time putting him down drowsy-but-awake.
If you're really struggling, can you pump a bottle and let your OH or mom or someone take over one feeding for you, so you can get some sleep?