I would dangle it out the window of your flat and see how many gasp at the thought of you dropping it.
Um hit iTunes and start downloading some cool games. I started a thread on free apps. There are some good ones in there. If Zombie Gunship is still available snag it because it's really well done. Oh and congrats on your purchase.
Do what we all do. Check for yellowing, backlight bleed, dust under glass, light leakage around bezel, dead pixels, scratches, misaligned home button, and more!
I guess just go to the App store and scroll through the top 100 apps, see which ones you like and download
Maybe watch a few youtube iPad app reviews as well
Buy two more and mount them to the bottom of your car. It's the new in thing.
I rather enjoy NOVA 3 and Mass Effect Infiltrator. They cost moneis but are good fun. A lot of of the free games are riddled with in app purchases so I tend to stay away from them. Heck, even some of the pay games have them too.
If you like the music, Pandora is a nice app. Garage Band is only nice for when I plug in my guitar.
If you like to cook you could download some recipe app and get to work liek these fine people.
Edit: I forgot the most important one... Jail break it.