Under visual studio if you run a web project by pressing the Go button on the Debugging toolbar, then stop it by pressing the Stop button on the debugg
This is the way I do it: Get the URL for your project, you may have to run it once to get the port number and to start up the webserver (if you are using the built in one).
Then open a browser session, and put your URL in.
IF you want/need to debug, then just do an attach to process under the debug menu, I have setup a shortcut/macro to do this step for me.