The stay at Patrick's place was really great. The location couldn't be better - it's directly in the Latin Quarter with super cute small streets filled with restaurants, a vegan fastfood place and creperies with reasonable prices (!!) just around the corner. Also, there's a small super market that has everything you'll need (even fruits and bread!) also just a few steps away. Notre Dame is about 5 minutes walking distance and from the balcony you can see tips of the Eiffel Tower and Sacre-Coer.
We were lucky enough to have had the apartment alone for us - sharing it would have been difficult just as it's quite small, at least if you'd have to share it as a couple with Patrick :) (don't get me wrong, Patrick is a great guy from what we've come to see of him, nothing against sharing with him in general - it's just that you'd end up having to cross the bedroom to get to the bathroom which at night would be inconvenient).
So in general - definitely recommend to stay at his place (also, great internet connection)!