Hi,
I do not have a Facebook account so I am not really sure what you would see but in the blog it says:
Youll still be able to generate an analysis of most of your own
activity on Facebook, but you wont have access to any information
about your friends (except their names) unless theyve also authorized
our Facebook app. So in most cases, we wont have enough data to
generate a meaningful friend network graph, or to compute statistics
about location, age, marital status, or other personal characteristics
of your group of Facebook friends.
I suppose that this means that you can see when you post and what you speak about but you will also have problems getting an interesting friendship graph, because the algorithm would need the links (friendships) among your friends. Same goes for location, age etc.
So, I think that the post suggests that the output will be very limited, because much of it depends on data you will not have access to anymore.
Basically, it will not work anymore unless all of your friends have authorised the Facebook app.
Best wishes from Aberdeen,
Marco