I'm always amazed how much some of that Siemens stuff still goes for. My employer had a handful of Siemens PCs ranging from 486 Beetles to Pentium III Scenics in daily use until just a few years ago. They really were built to last.
You wouldn't be directly connecting the PC to the Internet. You'd connect the PC to the KVM switch's PS/2 and VGA connectors. The KVM switch present the corresponding virtual desktop to an appropriate user over the Internet using RDP or similar.
Again, I'm not sure such a product currently exists, but I assume it is, given the needs of data-center admins.