Hi Mat,
LabVIEW CGI is the best solution for that. I know that you can build ActiveX controls (in Visual Basic) that talk to labVIEW. But LabVIEW CGI is the easiest way of doing that. You should have some knowledge of HTML inorder to work with LabVIEW CGI.
Also note that in order to have the LabVIEW CGI capability you should have Internet Toolkit for LabVIEW (available from NI). For more information
http://www.ni.com/labview/internet/
The examples that ship with the toolkit should get you started on it. LabVIEW CGI VIs would allow you to execute VI from web browser and get results back in web browser in form of HTML page.
Hope this helps,
A Rafiq
National Instruments
Hope this help.