That´s an good idea to read together with your daughter!
There is many books that could be suitabel for you. You could for exemple try some of these:
Bästa vänner av Moni Nilsson
Brummas bok av Pernilla Stalfelt
Loves kanin av Annika Thor
Fräs, den lilla panterkatten av Isabelle Halvarsson
Lyckokakan av Kerstin Lundberg Hahn
But I would recommend you to go to a library and ask for help to choose a book. Then you can see the books and read a little in them to see what you think of the language, so that you get one that is suitabel for you in both subject and language level. I hope you find a book that you like!