A rare look as photos of these old papal gardens just don't exist and the gardens are closed to the public. These gardens are surprisingly extensive and are attached to the old papal summer palace on the Quirinale Hill.
One of the best things I ever did while in Rome was the two times in my life I got into the palace and gardens with rare VIP tours. In the palace we saw the truly magnificent chapel where Pius IX was elected Pope (the ceiling is tremendous!) as well as the old throne room which in recent years had the throne and its backdrop torn out (sometime after the war).
See a map of Rome and you'll have an idea of how large the gardens are. While in the gardens I had but one thought: such a pity this was stolen from the Popes in 1870!
While there one can even feel a breeze, as on the top of the Palatine or Vatican Hills, coming from the Tyrrhenian Sea. The view of Rome and St. Peter's from the Quirinale Palace is out of this world. The loss of the palace and its gardens was a major loss for the Church and Her Popes.