I think that it has been rather abundantly proved that the Church at all times has encouraged reading (and, in preliterate or semiliterate societies) hearing the Bible, provided the Bible was an authentic one, and provided that there were provisions in place to make sure that one not only heard it, but understood it correctly. This is only sensible. Who would wish to read a Bible that was incomplete, or incorrect? Who would wish to rely on his own, possibly poorly understood, interpretation of the Bible when there exists a real, God-given authority to help us to a full, complete understanding?
I think that to argue that Catholics were not 'allowed to" read the Bible without the help of a priest and/or catechism or other Magesterial tools meant that Catholics were discouraged to read the Bible (with its implied corollary that said Catholics could neither ‘think for themselves’, were ‘brainwashed’, etc.) is intellectually dishonest (consciously or unconsciously). Why, the eunuch acknowledged to St. Philip that he could not read Scripture without someone to give proper interpretation, and St. Peter warned against ‘private interpretation’ of Scripture. St. Paul also noted the many difficulties, in his letters to various churches, about people listening to ‘different gospels’, and not the one real gospel.
The fact that not only Catholics but non-Catholics could (did, and have) had individual error in understanding the above does not obviate the truth. It is possible, though I myself have never experienced it, that at some times some priests and laity taught, and believed, a “Feeneyitish” or “Jansenist” type of interpretation, to the point where those Catholics involved themselves believed that they ‘could not’ read the Bible. That is indeed a sad thing, but it is not, has not, and will not ever be the authentic teaching of the Catholic Church regarding reading the Bible.