I am not sure why you would need to use a browser from the console of your core 2012 hyper-v server but there is a way and it works
just download
https://skydrive.live.com/?cid=f8e137f6fd1c75f2&id=F8E137F6FD1C75F2%21105&Bsrc=Share&Bpub=SDX.SkyDrive&sc=Documents#cid=F8E137F6FD1C75F2&id=F8E137F6FD1C75F2%21219&sc=Documents
firefox.cameyo.exe and run it on the core server and you will have a web browser you can use from the console of your server. Have fun surfing the web.
just download
https://skydrive.live.com/?cid=f8e137f6fd1c75f2&id=F8E137F6FD1C75F2%21105&Bsrc=Share&Bpub=SDX.SkyDrive&sc=Documents#cid=F8E137F6FD1C75F2&id=F8E137F6FD1C75F2%21219&sc=Documents
firefox.cameyo.exe and run it on the core server and you will have a web browser you can use from the console of your server. Have fun surfing the web.