I haven't started stories yet, since I am only 14 weeks along and s/he doesn't have fully developed ears yet, but I think s/he can feel vibrations so I've started singing.
I also have an adult child and a teenager who I loved to read to, so I have a nice library of children's books, although I think I'm going to pick up the prenatal Dr. Seuss book. I'm going to go with a bit of repetition, because my son's special lullabye tape that I played for him every day before he was born was such a powerful soothing tool for "colic" and general unhappiness in the newborn period.
The first book I want to try is "The Lorax", followed by lots of Seuss and lots of Bob Munsch (not everyone cares for him, but my kids loved him) and some Shakespeare and Homer. I think something rythmic and musical would be good.
I wasn't very good about reading to my older kids as babies because I was very self conscious, but I definitely noticed a difference in ds's ability to understand literature, since he was exposed to my reading aloud to his sister from conception onward; he had very sophisticated tastes as a tiny child.
We liked bedtime stories, but frequently I was too tired to read as long as I wanted and outside activities and sleepovers sometimes interfered, so I also read the big kids "morning stories" before breakfast.
I do remember reading the newspaper and investment brochures and other purely adult material to Phoenix when she was an infant and she did seem to enjoy the sound of my voice even though she couldn't understand a word I was saying.
Heather Marie, if your library has Father Gander nursery rhymes, you guys might enjoy reading those to your bean. Big dd had the "Girls to the Rescue" series when she was old enough to read to herself and several other revampings of traditional fairytales that weren't quite so sexist.
The Laura Ingalls Wilder books were very special to me too and there are some picture book versions of favourite tales and remixes that leave out the more racist and dated parts of them. I self-edited them when dd was very young because she just couldn't understand my fondness for "that boring book about meat" (Big Woods).
How fortunate that I still have my thrift store paperbacks with all of my margin notes for littlest dd to enjoy!
I'm sure a lot has gone on in the world of Children's literature since my bg kids stopped wanting me to read to them (about two years ago; ds was thirteen) but I am so looking forward to dusting of the old favourites and finding some new ones.