The basic premise of asp is that you design a page that is 'processed' by the web server, which then sends ordinary html to the browser. This 'processing' can include calculations, data from an Access (or any other ODBC) database, and VB scripts. Any browser should be able to view this html, because all of the intelligence is on the web server.
To add read/write capability, you need either CGI or perl coding (with any browser) or ActiveX (where IE is required).
Access will let you save forms, tables, queries and reports as html of various flavors. You should try this and see how it looks.
Note that Access 97 will save a form in a form view, but Access 2000 will save a form in datasheet view.