Blot.im does this but with dropbox and its amazing. Since you use word docs instead of g docs the formatting transfers over perfectly. Super easy setup and $20/yr. I’ve been using it for 2 or 3 years and it’s great.

Npzero.com is my blog if you want to see an example. There are much prettier themes you can choose from as well. I have a chrome book so sometimes I write in g docs, export to word, and upload to Dropbox’s webapp and make final adjustments in their online editor. No affiliation, just a great product.