I got an Ipad 2 for my birthday a few weeks ago and I am completely and totally in love with it! When I asked for it I really wanted it for E-books and random apps. However I found some apps that I really don't know how I lived without.
Stumble Upon started out as an add-on for firefox and now they have a mobile app. You enter things that you find interesting and then you "start stumbling". You click the stumble button and you can browse millions of random websites that Stumble Upon think you may be interested in.
Epicurious was recommended to me by a friend. This app is a compilation of recipes for any occasion. I have yet to make any of the meals featured on this app however I do enjoy scroll through the different categories. The best thing about this app is that you can click the "shopping list" button and it complies a list of things you will need to make the recipe you are planning on cooking.
Flipboard is by far my favorite app. Flipboard puts all your favorite magazines, newspapers and blogs in one location. You simply click on a picture or section that you find interesting or want to know more about and Flipboard takes you to the article.