JohnBoy
If I Understand Correctly 
You should be able to get the URL of the stream, put it into VLC, playing the stream with VLC, and then record what it is playing.
As I cannot access the stream I cannot get the URL from here unfortunately ..... the link you posted is not the stream itself I think ......
regards.
IIUC... ups, seems I have missed that abbreviation

never met before...
As for VLC. Yes, I can get the URL and put into VLC and that's all. It does not even play the URL, so have no chance to try recording...
And yes the link I posted is for streaming media. It's for a TV channel.
You can try this link
http://www.myvideo.ge/?act=dvr&chan=gpbThe site
http://www.myvideo.ge/ records everyday streaming's from different TV channels and then makes available to watch them for 10 days, you can also watch LIVE.
Anyways, thanks a lot for your time and consideration.
Regards,
Uncle.ZZ