The form is simply a front end to any newsletter software/plugin you plan on running.

There are a good handful of WP plugins that offer actual newletter functionality, on top of which cforms could run. Usually if you don't require cforms powerful features, you should be fine with what forms come with these plugins and you wouldn't need cforms to do that.

If you do choose to integrate cforms with one of the newsletter apps, the easiest way of course is to simply feed the admin email into the newletter application for further processing.