Hi GSM-S and welcome to iMore !! Enjoy your new iPad !!
As for games and apps, here are a few of my favorites as suggestions:
Paper by 53(art), Flipboard(news articles), Anylist(shopping list), Evernote(notes) and a few games ~ 2048, Threes, Dots and teegle.
tapped out by my P!NK fingers on my GORGEOUS GOLD 5S
Moto Wheelie - simple, single touch addictive game
Jumbline - really good anagram word game
Jet Pack Joyride - Another fun and addictive single touch game