Reading is a calming but still fun activity that you can begin practically at birth! In the first weeks babies hardly have their eyes open, but their ears are open and listening, processing everything they take in. The sound of your voice is the most familiar to them of all the sounds because they've been listening to you talk forever. *smile* For that reason, it doesn't much matter what you read initially as long as you are reading out loud so your baby can hear you. They are picking up on the rhythm of language and the intonation of storytelling while associating reading with the warm, comfy, safe feeling they have while in your arms or lap.
board books for babies to help you get started!
Jim Trelease's book The Read-Aloud Handbook.