The section Catholic Doctrine in the article Purgatory | New Advent has:
Purgatory (Lat., "purgare", to make clean, to purify) in accordance with Catholic teaching is a place or condition of temporal punishment for those who, departing this life in God's grace, are, not entirely free from venial faults, or have not fully paid the satisfaction due to their transgressions.
Therefore this article says Catholic Doctrine teaches that purgatory is a place or condition [state].
From my answermy answer to What was St. Thomas Aquinas's view on the difference between punishment accorded to original sin and punishment accorded to individual sin?What was St. Thomas Aquinas's view on the difference between punishment accorded to original sin and punishment accorded to individual sin? | Manwe ElderManwe Elder, St. Thomas Aquinas speaks of souls going to "abodes" and hence to him they go to places.