After setting up your phone with you Google account, you should look and the workarounds, tips, and tricks for the Galaxy Nexus which are helpful to many people.
http://forums.androidcentral.com/verizon-galaxy-nexus/152902-galaxy-nexus-workarounds-tips-tricks.html?highlight=workarounds
Anyway, once you've read the workarounds, you should go to settings and play around with the different settings there are to explore. Anyway, here are some apps that I would recommend (many of which are available for iPhone 4S)
Games: Angry Birds Space (Premium), Bloons Tower Defence 4, Cut the Rope, Cut the Rope Experiments, Doodle Jump, Draw Something, Fruit Ninja, Gravity Guy, Minecraft Pocket Edition, Temple Run, and Where's My Water
Apps: Astro File Manager, Battery Widget, Beautiful Widgets, Colornote, Dropbox, EzPDF Reader, Facebook, Facebook, Light Flow, Messenger, Gasbuddy, Getjar (Obtainable only by going to Getjar.com), Instagram, Juice Defender Ultimate, MyBackup (Pro), Pandora, Picsay Pro, Pulse, QR Reader, ShopSavvy, Smart Tools, StumbleUpon, Sweet Dreams Swiftkey 3, Translate, TrustGo Antivirus, TuneIn Radio, Twitter, WeatherBug (Pro), Where's My Droid, and Youtube
P.S. Make sure you know how to get these apps for free. In Android, there is a method that allows you to get paid versions of apps for free. Be sure to check out
How to Download Paid Android Apps for Free . It is useful to know. Just be sure you are careful if you use the method because I don't know if it's legal or not.