Piglet, don't feel guilty! Dd #2 is the same age as your dd and loves to eat books. As for reading them, she's so different to her big sister, who would sit and listen avidly from birth, it seemed. The baby hears stories and language all day long (dd# 1 is never
quiet, and I try to read board books to her, but she's so cheeky that it usually becomes a battle to grab the book from my hands and throw it at her sister!
We'll keep trying and I know she'll settle in the end, but all children are different and you can take a horse to water, and all that.
The interesting thing for me is that although the baby isn't having the same language experience as my first child (how could she, as I'm looking after a toddler 24/7 now), she is hitting language milestones at exactly the same age. Although 'Mama' was about word #20 for my first dd, it was the baby's first real word - because she hears her sister say it all day long!
I guess what I'm trying to say is, relax, and enjoy reading when it feels right and your babe starts to enjoy it. They change so fast, one day it may be a disaster, and the next, she will discover the joy of reading with you. I'm sure my baby will eventually decide that books have another use other than as a teether!