Heh, you've given me a great idea for a weekend project (a free directory where you can put your info in, and you'll show up in Google search results). Think Gravatar, but for all of your contact info.
What would you call it? Imagine it's not just a publisher to Google, but you could land on the directory through a domain. Something about being a planetary directory.
The parent was probably being facetious (they're saying that you're sort of Greenspunning Facebook.)
Nevertheless, services like this already exist. https://about.me, for example. "Vanity website" is the generic term, I think. It's essentially a one-page business card that you can register a domain for.
The difference between these services, and Facebook, is that people sign up for Facebook and fill out their contact details as a necessary step in the process of doing something else they wanted/needed to do. People don't seek out Facebook, they just... end up there. Like your name ends up in the White Pages.
Whereas, these "business-card website" services, you have to explicitly seek out and register with, just for the purpose of having that information out there. Less like the White Pages, more like the Yellow Pages. People that want to be reached out to (i.e. people with "personal brands"—marketers) are willing to go to this effort, but regular people aren't.
It's very unlikely that, if you're looking to connect with someone (who is not the type to create a big public presence for themselves), that they'll have registered with one of these services. Why would they have?
If it's successful it will be bought and become evil. Gavatar tracks its users. It's blocked in my browser. If it's federated then maybe it won't become another Facebook.