It seems apparent that each core of the GPU could allow for handling of a request, rather than one main processor (the system's CPU) handling all requests. On the surface, it seems like it is possible, perhaps with Templates in GPU + Redis database in GPU GDDR5?
Is it possible and worthwhile?
How would the GPU access disks, databases, etc.?
Requests are usually short sharp processing snippets. You'd have to load each request off main memory, into GPU memory, do a computation and fire it back again. There's an overhead when transferring data from main memory to GPU memory. Therefore, it's only worth doing a GPU computation if the calculation is long enough and the problem is ammenable to parallel processing on a GPU.
In essence, GPUs are good at stream processing. Not for lots of small requests.
The previous answer is valid. There is also another ceveat regarding GPU's, the instruction set is smaller and data is processed in matrices. I.e. same operation applied to every element in a set. So you will need to be very clever in designing what this replicated operations are.
I take it you are considering a GPU HTTP server.