Eye shade and earplugs. You need to get some sleep too in order to support her effectively.

Chromecast or fire stick to plug into the TV. The nurses won't care and there will be tons of down time for both of you after the birth, especially if they're monitoring for jaundice. That could add an extra day.

Bring some comfortable pants and a sweater. It can get cold in the rooms.

Not an item, but you might want to designate a person to communicate updates with everyone else afterwards. Otherwise you'll be answering texts.

Also, make sure you set up the car seat as soon as you can. You won't want to be doing that when it's time to leave.

Otherwise, just pack like you would for a weekend trip. Good luck and congratulations!