FamilySearch already has a collection of microfilm images of vital records and church records obtained under an agreement reached in 1960 with Archives France. However, that agreement did not include permission to publish images on the still-to-be-invented Internet. In recent years, FamilySearch has asked for permission to publish the images online and that permission apparently has now been granted.
You can read more (in French) on the Le Figaro web site at http://goo.gl/ge3qz. If French is not a good language for you, try reading a passable English translation of that page from Google Translate at http://goo.gl/1vAZL. Be aware, however, that machine-generated translations are never perfect. If in doubt about the wording, always refer to the original page in French.
My thanks to newsletter reader Yvonne Dolbec for telling me about the article.