In my Google App Engine app I want to pass this user information
user = users.get_current_user()
to the Chrome extension in a url param
This is from a while ago, but just in case someone stumbles upon it as I did today.
Sending the user email as a URL parameter is totally unsafe. Anyone using curl or their browser can make requests pretending to be any random user. If users can alter data with their requests, or if they should not be able to see each others data then you shouldn't follow this approach.
You should use GAE's cookie based user's service instead: