N.M.
My daughter did the same thing. Children are sometimes very grabby and just want to hold or chew on their books at that age.
Everytime my daughter would yank the book from my hand to chew on, I would calmly take it away and say "books are for reading not eating" and then distract her with something else.
We put all the books out of reach and only took them down to read to her. Eventually she got the message and settled down. Now she's 3 and loves me to read to her. I even had to limit the reading time to 2 stories because she would have me read to her ALL night if I let her! LOL!!
Just be patient....
P.S. Maybe the stories you have are too long for her age. One year olds have the attention span of a goldfish. We got these mini books that were cardboard and only 4 pages long. (about 30 words total thoughout the whole book) They seemed better for her until she got older and wanted longer stories.