There are lots of lists and advice for what mothers need to bring and prepare when going to the hospital, but not many people remind dads on what to bring for themselves.
You definitely need an iPad with a nice lap stand. When you're holding your baby and spending time with him while he's sleeping, there's not much to do other than state at him. This is usually tons of fun for the first fifteen minutes or so, but staring at him for 2-3 hours is pretty hard especially when you can't let yourself fall asleep isn't something I'm capable of doing. Having the iPad in a nice lap stand means you can hold him in one hand and play games, surf, or read with the other. Trust me, you're going to want to hold and soothe your newborn most of the day and maybe even night to make sure mom can get enough rest between feedings.
The second thing that you need to bring is your camera. Make sure you know how to use it and that it can take satisfactory pictures with relatively little light. Babies don't generally like harsh, bright lights, so if you were on the fence about a nice DSLR with a fast lens, now's the time to splurge.
Finally, don't forget your own toiletries. If you're anything like me, you assumed that the hospital will have things like soap and shampoo. They do, but it's the kind for babies not your manly body gel and shampoo combo.
In case you're wondering, the picture is of my best swaddling job, yet. Notice how he doesn't have any of the blanket in his face and the wires for his sensors are nicely fed through the bottom.