I guess you don't want to hear too much about well established social networks like Twitter, Facebook or GooglePlus - but they would be the most obvious choice if you're looking for something to turn your ipad into a portal of social interactivity.
I've recently been studying apps that basically allow you to chat with random people, and there are a few I suggest checking out.
On the more "dating" side of things, Tinder is a pretty good option.
Omegle, Highlight, and Distant Shore are all very good options if you just want to login, meet someone, start chatting, and possibly start a friendship.
If you want something more niche, I'd suggest downloading an app related to a hobby you enjoy. Most apps these days provides the facility for users to talk with each other.
For example, I love scrabble, so chatting to strangers I play against on Word with Friends is something I do regularly.