You and others can have access to a database hosted on the Web from any location that has a browser with an Internet connection.
The Web database concept makes sense if you and your people want to do work in various locations in or outside the office and still be "plugged" in.
For example you could have employees enter timesheets or have sales reps log their contacts. Or perhaps you'd like customers to be able to check the status of their orders online without having to call the company.
If you want a Web database, typically what would happen is that a database such as Access or MySQL (basically just consisting of tables) would be put on the Web.
Dynamic Web pages are similar in many ways to regular HTML pages. But they are "live" because the user can read from and write to information in the database. An example where you can login and add, edit, or view fictional customers and invoices is at http://www.bullschmidt.com/login.asp
Not all Web hosts will handle dynamic Web pages but many do. The Web hosts that can handle ASP pages usually have a Windows 2000 operating system running an IIS Web server.
And the following newsgroup is good: microsoft.public.inetserver.asp.general
Or for a "quick and dirty" generic ASP solution to putting database tables on the Web that just requires setting up a configuration page for each table or query and uploading the database to the Web as long as you have an autonumber field in each table (and as a more advanced issue you'll probably sometime in the future want to create login capabilities), perhaps try something like this: GenericDB by Eli Robillard http://www.genericdb.com