Unfortunately, I think this is a larger problem than you might realize.
I'm assuming you want this website to be accessible from the web. And therefore, your computer will also need to somehow be accessible.
This means you'll need to install some kind of web-server program on your machine. (Apache or SimpleServer for example...) 'least I think it's called "SimpleServer"... haven't used it in years in favour of Apache
AND THEN, people would connect to that computer via its IP address. (i.e.
http://64.229.54.96/index.htm/) HOWEVER, if your computer uses a dynamic IP (that is, the IP changes each time you connect) then you'd need to setup a redirect that sends the person to your new IP automatically (
http://www.no-ip.com will do this for you)
And once that's all done, you might want consider throwing on a firewall since your computer is now accessible from the net.
And to top it all off, while this computer might have a larger hard disk, its bandwidth I'm assuming is going to be rather limited. For example, many broadband connections have an UPLOAD bandwidth of around 200kilobits/second. (note that this is different than your DOWNLOAD bandwidth) And this is in kilobits... so it'd 25kilobytes/second... and that's to a single person. This number is split as more people access your site.