The only reason why I want to do this is to see if it's actually capable of doing it... Do you really think I would run a website on it?
I know what a webserver is, I even have educational certificates on the subject and working on an engineering degree. Webserver is not even the correct terminology.
And yet, I still dont know why you would stop all the work your playstation does, to host a HTTP Server on your gaming console? It has poor networking, it has the risk of overheating while running for a few days (greater the older model you have), it cant multitask properly, its really expensive. You could get a computer made of free scrap parts to do a better job.
Still it would be a fairly trivial job to make one, so learn to code a bit and you can do it your self (I cannot guarantee that you will be able to, but its still an easy job).