Keep sturdy board books in a place your toddler can reach on his own. For example, a book about animals gives the chance to imitate animal sounds. Know your child and keep story time short but frequent, if needed. Reading together is fun, something to be encouraged but not forced. Find a special time and place for reading together.
Toddlers can understand many more words than they can say.
Praise him for correct responses, and give him the words he needs if he doesn't seem to be able to say it himself. You never know when you might need them. Toddlers often go through stages where they may prefer a primary caregiver for cuddly reading time. This is normal and not a reflection other caregivers. This is only the beginning.