Track IP through EC2

Hope this is not a silly question, sorry if it is.

I created a Windows Server 2012 R2 instance from AWS EC2. If I connect to the EC2 instance from my Windows computer through 'Remote Desktop Connection' and then from Windows Server 2012 I connect to a website, is there any way that website could see my Windows computer IP ?

Basic diagram:

(Computer_01) ---[RemoteDesktopConnection]---> (EC2 Windows Server) ---[InternetExplorerBrowser]---> (Website)

Is there any way the Website could find the ip of Computer_01 ?