Ridge,
This is what the "i" in LabVIEW 6i stands for. Internet applications (collection of data through IP) was a basis for the release of 6i. This is not only a capability, but is built in as easy to do.
Unfortunately, I have little experience in this arena. I have built TCP/IP client server relationships, but never remotely controlled a VI over IP, so I can't advise you.
I would suggest the following:
Look up remote VIs on NI's website, specifically in Application Notes, and examples/downloads.
Check the examples that ship with LabVIEW.
Look for other documentation within LabVIEW (search through help).
Contact your local sales rep for some assistance.
I do remember seeing some kind of demo about this a long time ago, and remember
it being extremely easy. However; I never had use for it, so I never did anything with it.
You should have the ability to get started very quickly.
Good luck, and let us know how you do.