You can look all these up on iTunes w/o buying, but you can see what they are. These are the ones I use regularly or use when I need them.
What's On? - TV show schedule
Social apps - Pinterest and Facebook
Kayak - travel like fare checking, flight tracker
Fandango - movies, see what's on in my local theater
IMDb - Internet Movie Database to check actors info, etc.
News/weather - Weather Channel, ABC News, Time
Gas Buddy - find lowest price for gas
Grocery IQ - my Target, grocery list
Games- Angry Birds, Words with Friends, Hanging with Friends, Solitaire, Bejeweled and others, but these are used the most
Knitting apps- Knitting Help, Raglanify (make your own pattern), Yarn Genie
Good Reader - Read PDFs..I most use for patterns
Dropbox - Read PDFs, etc... look this one up online it does too much
San Diego Zoo - Seriously...I watch the new baby panda!
Okay there are a bunch more, but I guess I check these most... I think besides my mail and Safari. iPad isn't for everyone and you have to take the good with the bad like the typing issue. It's not heavy, but heavy enough it can be hard to hold. I tend to put it in my lap or against my bent knees. It's easier on a laptop, but I love my apps that make it easy to do the things I love. You can check them out at Best Buy and other electronic stores which is the best thing to do before you buy one. I got mine at Best Buy actually.
Ask if you have more questions.