Sorry, that wasn't a very good response on my end. On a web form there is a usually a script or some type of application on the back-end that processes the form inputs then creates and sends the email. This is identified on the form by the action attribute, so it would looks something like this...
NOTE: angle brackets replace square brackets in the following
[form action="some_url" method="post or get"] .. .. [/form]
This all might be moot with Cozanostra's posting. That site looks like they host the script that processes for form, so you really don't have to do any programming. The only draw back to this that I see is that you rely on the different site to be up/available/in business/etc. If not, your form might be up, but the script that processes wouldn't be.
A lot of times your ISP provides samples on how to implement the form handling on the same server. Check their FAQ.
I hope this helps. You can also contact me directly if you have very specific questions.