The small café was opposite the entrance to the Papal Palace which is where the Pope spends his summers on the shore of the lake ostensibly to avoid the oppressive heat of Rome.
I’m sure that this probably isn’t strictly necessary anymore because I imagine that the Vatican will have more than adequate air-conditioning facilities these days but nevertheless it still remains a nice place to spend the summer. The Catholic Church owns this splendid Palace thanks to the Lateran Treaty of 1929 when Italy recognized the full ownership by the Holy See of the Pontifical Palace of Castel Gandolfo.
Have Bag, Will Travel 
No paying your fares!!! You are naughty…. but it seems that you all had a great time.
I am most surprised that one would venture on a walk in 35 degrees without cream protection or a sunshade.
Also of course , had you made it all the way down to the lake..you would also mhave had to climb back up..not a good prospect..
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