At this age it's wonderful to read with your child rather than focusing only on them reading! Reading together, being read to, and reading out loud are building important literacy skills. Picture books can have a complex vocabulary, so for independent reading an "Early Reader" or "Early Chapter" book would help your reader feel successful.
Finding books that your children enjoy reading helps them develop a love of learning!
Seattle Picks: Gentle Reads for Kids
A list from the Seattle Public Library
Once you have an account (email Mrs. Quarterman for a username and password), log your reading via Biblionasium!