Earlier quoted context omitted.
Yes, Google can track my ip. I guess you should browse through tor if you're this worried about tracking. Google tracks IPs like Amazon tracks shipping addresses. It's kind of hard to deliver what you've requested if they don't have your address.
I can still get email through a vpn just like I can get packages at a p.o. box.
If you're using Gmail (or sending email to people who use Gmail), Google already knows a ton about you. They can probably guess where you live without knowing your IP. They can certainly guess where you live if you're ever searching for region-specific stores/parks/directions/etc. I suspect if you're browsing through a VPN regularly, Google has enough data to pick you out of the searches coming from the VPN's outbound IPs with fairly high confidence.