Welcome to BE. We lived in Delhi for about three and a half years and mostly enjoyed it.
I'm assuming from your user name that you're British. In which case you can apply to join the BHC Club as an associate member. I'm not sure how much it costs but it'll probably be worth it if only to bump-start your social life.
It also sounds like you're a "trailing spouse", so you may want to join the Delhi Network - no online presence as far as I know - they have an office in the Hyatt Regency hotel where you can go and find out about their activities.
As for finding a job, that may be more difficult as there are issues such as work permits to be considered.
I'm happy to help but I'd need more info about your circumstances. I'd also offer to show you around and introduce you to people but we left in August this year and are now living in Thailand.
BTW, are you actually in Delhi or Gurgaon? It makes a difference, and people tend to socialise accordingly. Gurgaon is much more modern and tends to have its own social circles, mainly centred around workplaces.
Still, there's loads to do in Delhi if you know where to look. If you give me a few more clues as to what sort of thing you're looking for, I'll try to help.