If you use a recent version of Microsoft Word (I know you can do it in 2003, possibly earlier) you can create a Mail Merge, and choose your document type as email. When you choose your source data you may be able to select your Access Database Table (if not perhaps you could export your table to another word doc or excel) and you can do it this way. I have never done this but I would assume it then uses your default mail client to sent the email to all the email addresses in your source document, you could then do fancy stuff like have "Dear *persons name.." at the start of the email - assuming you had their names too -.
There is also apparently a mail merge facility within Outlook, but maybe this is only for letters (though that would be strange given it is an email client).
If you struggle with this there are software packages out there designed for sending emails to multiple people, you could perhaps look at any newsletter type emails you receive, some of these may have a link at the bottom to the site/software they use to produce their mass emails, some of which may be free.
All this advice is in theory as have never actually done this, but hopefully this will give you some avenues to consider looking at.