I know (N00b) but I see the Google search bar for performing internet searches. But I don't see where a quick search for my phone's content is, like you would find on an iPhone by moving to the search screen. (Which searches through all of the phones content-contacts, apps, email, etc.)
Press and hold the menu button (button to the left of the physical home button). It will launch google now and if you enter the first letter of the name of an app it should start listing those apps, at least it does it on my galaxy s3.
If you pinch inwards on the app list then the app lists minimize and can be rearranged.
Found an app, this allows you to search your device for apps: https://play.google.com/store/apps/details?id=com.startapp.quicksearchbox&feature=search_result#?t=W251bGwsMSwyLDEsImNvbS5zdGFydGFwcC5xdWlja3NlYXJjaGJveCJd