Apart from Sundays and Mondays, it is possible to meet with a priest on duty. Otherwise, you can contact a specific priest and make an appointment.

Parish halls are only rented out to meet the needs of parish organizations, as well as to parishioners who take part in the life of the church. Organizations who use the parish rooms are asked to contact the office in July in order to place a reservation. All those who use church property are asked to leave it clean.

Papal Blessings are only available through the Vatican website, and must meet their requirements.
Please see: https://www.elemosineria.va/papal-blessing-parchments/