Yes it is normal. My daughter fed every two hours until she was four or five months old, then every two and a half hours for a couple of weeks and then three hours until she started solids at six months. Then as she went from one meal to two to three the feeds then gradually stretched out some more, although when we started weaning it still felt like I was constantly feeding her as if I wasn't giving milk then I was prepping food, giving food and then clearing up before milk again lol. As for sleep, I ended up giving a dummy at two weeks because the cluster feeding beat me, but she started stretching out night feeds longer than day feeds at about 10 weeks so I was getting four to six hours stretch of sleep. I know at the time I found it hard and exhausting and each difficult patch seemed to last forever when in reality it was only a week or two. But I have now been breastfeeding my daughter for almost 22 months and it really does get easier. Good luck xx