Right, I see. I looked at the site before, but not at the NewAppForm page.
In short, this is what you'll need (to do):
1. Make sure you have a Web server that supports a server side programming technology. For example, PHP, ASP, ASP.NET, JSP etc etc. What you choose doesn't really matter, but you're often limited to what your ISP or host supports. It looks like you're running Apache, so using ASP.NET for example may not be an option.
But if you're new to this, it doesn't really matter what you pick; you'll have to learn something anyway.
2. Create a database for the data that is submitted.
3. With the programming language of your choice, receive the information send to the server (from the HTML form), validate it and add it to the database.
This is a 10,000 foot overview; building a page like this is not a trivial task, and it's pretty difficult explaining what you need to do and how you need to do it in a few forum posts.
If I were you, I'd find out what server side technologies you can use, and then choose one. ASP is a good option, but only runs on Windows (well, it can also run on Unix, but not as easy). PHP would be a very good alternative too.
Once you know what technology you can use, buy a book. I can imagine you don't want to hire a programmer, but without a few good books you're not getting very far. For ASP, you can check out my book: http://www.wrox.com/books/0764555243.shtml
It deals with creating database driven web sites with Macromedia Dreamweaver.
For PHP, take a look at this book: http://www.wrox.com/books/0764557440.shtml
There used to be a book called "Beginning ASP Databases", but it's not a Wrox book anymore. I am not sure if it still exists, but Amazon can give you an answer to that question.
Once you have the technology and a book, come back to these forums and locate a forum related to your technology (or book). There are lots of people willing to help you when you run into troubles.
In the mean time, feel free to post follow up questions here; it may not be very on-topic for this forum, but right now there really isn't a more suitable forum.
Everyone is unique, except for me.
While typing this post, I was listening to: Miss World
(Track 2 from the album: Live Through This
) What's This?