I am sure that there is a lot of scientific research out there on pre-reading skills, but I want to share a personal story about my son that illustrates what I believe might be a good direction for you to pursue with your daughter.
My sons both attended a fairly large day care center for the first four years of their lives. They had two classes for each year of age--i.e, younger 1 year olds and older 1 year olds. Beginning at about age 2, the teachers would start the day with a "class meeting." Some teachers called it "News of the day." The kids would all sit in a circle with the teacher who invited them to share their "news," which was frequently something along the lines of "I ate yogurt this morning." As the year went on, the teachers would start to write a "newspaper," which was basically a flip chart where the teachers would write down the stories the children told that day.
The teachers might expand on the theme by having the kids draw pictures to illustrate the newspaper, etc., but the consistent element was talking about the news and then writing it down.
One day, I went to pick up my son in the afternoon, and he told me that he had some news to share with me. He took me over to the flip chart, and showed me a squiggly line that looked something like this:
Then, using his finger to follow the path of the line, he "read" his news to me, which was something along the lines of "I woke up this morning, and Daddy brought us to school and I played with my friends."
Now, obviously, he wasn't really "reading" anything--but the real point was that he understood that reading was the translation of words that he said into shapes on a piece of paper, and it was possible to recreate those words by interpreting the shapes on the paper. To me, understanding this concept is the absolute core to learning to read.
So, my recommendation for something additional you can do with your daughter (and the answer for the TL;DR folks):
Start helping your daughter "write" books. Staple a bunch of sheets of paper together, let her draw pictures on each page, and then have her dictate what is in the picture while you write down the words. Then read this back to her and others--you can even use her books for bedtime reading. Don't worry if the story is actually a story, or if the pictures actually show anything you can recognize--just help her begin to understand what reading means.