Ah!
Well, you can find cgi scripts to POST your form results to, which will both email you the results and add them to a txt file on your server. Your ISP should have this script available. If not, look on scriptsearch.com
Easier still, though, is if your ISP has FrontPage estensions installed, and if you have a copy of FrontPage... It's dead easy to add a form and set it up to forward results to an email address as well as saving to a delimited txt file. You can then easily import from this file into Access.
There are sometimes some issues with installing cgi scripts with some ISPs. One local to where I live insists on vetting each script first before they allow it on their server! Also, some scripts require certain versions of the script language to be installed, eg Perl 5. However, your requirements are fairly common, and I would hope that your ISP already has a free version available for you to use pre-installed on your server!
My preferred option is to use FrontPage - I manage around 50 different websites with it and the occasional HTML formatting issues are far outweighed by its ease of use!
Cheers,
Pete