No, I worded that poorly I guess. I have email through GoDaddy via my personal website account. I set that up as IMAP rather than POP3 so I can have the folders maintained on any device. I do have a Gmail account, and I think it might be IMAP but I'm not sure, although I rarely use my Gmail account for anything other than logging into Google Calendar and Contacts.

EDIT: I am able to sync Google contacts with my iOS devices and with Mac OS X Mountain Lion. I don't remember exactly how I set everything up now. But in iOS I have to use iTunes to sync up contacts after I change them in Google, so it isn't as automatic as I would like. The Mac OS X automatically syncs them though. Sorry, I wish I could remember how I set them up in the beginning. I might just have imported them then set them to sync via iTunes At any rate it wasn't as intuitive as it should be!