I applaud you! We at school can always tell which kids have been read to and with-they are "super readers"! I am a grandma now and here are thebooks my kids, grandkid, and I loved BEST:
ChickaChicka BOOMBOOM: Teach her her letters, then their sounds.
Goodnight, Moon-This is a great bedtime ritual book. After many readings, yr child will point out items in the story on the page, as well as fill in the last word if you pause. (Ex: goodnight to the old lady whispering _____ (yr kid will say hush) This works for any "familiar" story.
Also, it goes black and white pic, then color pic. (Kids notice these things).
Mercer Mayer books starring Little Critter. My middle daughter could read these when she was three.(Memorization DEFINITELY can be called reading!)
Any book by Kevin Henkes. My favorite is Owen, but they are all wonderful with mouse illustrations, adorable & pertinent stories as well. His girl titles include Lily and the Purple Purse.
MY ALL TIME FAV: My Little Grandmother Often Forgets by Reeve Lindburg (of the flying Lindbergs incidentally). This is the most special book of all. I will let you discover why for yourself. My granddaughter adores it so much I bought it.
And any and all Dr. Seuss because he teaches SO MUCH through silliness (word families-rhyming words and spelling patterns etc that are crucial to learning to read). Some of his are advanced though (The Lorax etc), so start small.
But make the library a regular place to go! They have books and computers, free and very cool. They have story hours with grannies telling stories. Check out stacks and buy the ones you love online, used at Barnes and Noble, very cheap.
Also the little books for chubby hands are perfect for her now. One word per page-ex: prepositions/opposites like over/under, on/off etc. Or one shape (or color) per page.
And teach that books are NOT toys even though they are so fun.(don't throw them etc)!
And every book is at least a LITTLE GOOD, but some are better.
Instilling a love for the written word starts now, and God bless you. Kids are not exposed to the written word much nowadays, they struggle to read as a result. They can't visualize (too much TV) or imagine, very sad.
So you go, Mom, and don't forget puzzles, they sharpen the math side of the brain. And let her color & cut & glue stick as soon as possible (small & lg motor, hand/eye coordination, nice writing later)
At first they are wiggly listeners but she will love it soon.
When you see the first letter of her name in a story (her name letter), point it out (and then the sound). If you keep doing this, she will read a little before kinder, and MOSTLY, she will know all the letters and their sounds.
If her name letter is c or g, you will have to teach soft & hard sound pretty quick (:....
FYI: By the end of 1st grade your child will be expected to know: title, author, illustrator, table of contents, page #, comma, period, quotation marks, exclamation mark, question mark, etc.
Show her her name as you write it out. PLEASE use capital for first letter only. ex K., NOT all caps, this is almost impossible to correct later and causes discernment issues. Count the letters in her name. My kids could write and spell their name when they were three. I called the capitals the mommies and the lower case the babies.
Good luck!