I am supporting a website for our community food pantry (www.rfcfp.org) and they would like to publish new newsletters to the website themselves. I thought of using something like GOOGLE DOCS but they want to have ALL of the Newsletters present. I admit I am stumped. I could give them an HTML page that they could update and upload with the new newsletter. Given that these people are not very experienced, I can imagine busted links everywhere. Has anyone done anything like this?
Thanks!

MailChimp is the answer you are looking for.

A free foolproof solution, but not very pretty, is a link you provide pointing to a newsletter directory that stores the PDFs. You setup the CoffeeCup FTP program for them and setup the directory to allow indexing to list the files. They create each newsletter.pdf with a unique name and upload. Users follow the link and pick a file from the list. Again, not the prettiest but the most foolproof when scripts or paid services are not an option.

Mailchimp is pretty good as Eric already said, I have used it over the past year and it's pretty featureful for a free service.