N.B.
Completely normal. They don't just have puberty one day and it's over. It's a long process that takes time. This doesn't signify that she's going to start her period in the next few months either. It just means her body did something new that is part of a long process.
From what I've seen with our girls friends she was rather late when she started at age 12. Most started around age 10 or 11. Only one of her friends, at age 13, hasn't started their periods by the time they turned 13, so when they were 12 or younger. This one friend started in January.
Nipple soreness and the small nodules do happen this early. They won't start having breasts in a month, they'll continue with this pain and stuff for maybe even years.
I would definitely have it checked by the doc though just to rule out anything going on with her lymph nodes or something like that.