How can I get list of URLs currently connected to my computer?

I'd like to create a monitor to show that URLs

There is no such thing. URLs are basically the address of a resource, e.g. a web page. Once you get that resource there is no connection. It's just data on your computer. You're going to have to provide a far better description of what you want for us to understand what it is and how it might be done. Assume that 10 words will never be enough to provide an adequate description.

for example if I on this forum I'd like to get http://www.vbforums.com/newreply.php...te=1&p=3385436
from somewhere. but most of all I'd like to see hidden URLs which my computer currently connected to. it may be URLs of some sites where some applications send my private information. i hope you understand me

Well like jmcilhinney said, after getting a full HTTP response from a webserver the connection (usually) closes, and there's no way for you to find out what webpages a user is viewing if you do not in some way interact with the browser.

The only way for you to find out what hosts your computer is currently connected to would be the GetActiveTcpConnections method, which would return to you all current TCP/IP connections on your system.
This would give you the address of the webservers, but you still wont know what exact page the user is requesting from that webserver without "eavesdropping" on the request.

thanks a lot for replies