|Don't use the same IP address for both OSs!|
I think you need to read up about how IP networking works and how to configure it. You haven't given enough details of your setup to give a proper answer. How do you connect to the Internet - modem or router? The normal setup is to have a router, with a routable IP address, which then assigns private addresses to devices on your network via DHCP. If you are using just a modem things are more complicated. In that case it would be simpler if you used NAT networking (and DHCP) in your VM rather than bridged.
Rule number one of IP networking - any device with a public IP address needs a unique address. This is relaxed somewhat when you use private, non-routable addresses but you still need unique addresses within the local network.