I have been searching for a way to have my Google Sites post updates to a persons Facebook page. I found this video that describes using a tool called twitterfeed.com to setup automatically adding your Blogger posts to your twitter and Facebook feeds.
The end result will be: 1) using Blogger to make posts that contain newsletters and announcements about my page, 2) signing up for a
twitterfeed.com account (that is free), 3) creating a Facebook page on my facebook account for my Blogger page, 4) Change Facebook Page, Settings for
Posting Ability to "Disable posts by other people on my Page timeline" to keep the page strictly for information purposes.
Use this video to learn about
"How to automatically publish your blog posts to Facebook or Twitter".
How to automatically publish your blog posts to Facebook or Twitter