I would loved to do this just for the fun even if I would have to link up multiple computers up to each other just to get the processing power enough to light it up. Is this possible or am I not understanding something?
If this is possible how would I go about doing this?
It is a pointless venture. Processing power is a very general term. A processor can burn as much electricity as a bulb however what comes out is a bunch of data that is getting manipulated and moved around billions of times a second with many simple operations.
So you try to suck energy out of those wires, eventually with enough wires you may get some energy in a usable form, however what you have is not processing power being turned into electricity.
The true way that processing power can be turned into electricity is profitable mining through hardware (difficult), selling coins for fiat or electricity, buying electricity and using it.
Also, using complicated calculations to run a model for nuclear fusion, figuring it all out, generating electricity. It could then be argued that the electricity was generated thanks to the computer power behind the models, at least in part.
I'm sure my perspective is very general so I may be missing something. I'm no expert.