The Catholic Church says that it gave us the Bible.

The Bible says that the Holy Spirit gave us the Bible.

The Roman Catholic Church does not have authority over the Bible.
Since the Bible is the Word of God (whether we believe it or not), how can mere men give authority to the Word of their Creator and Lord? Even the Roman Catholic Church does not assume this proud position in its official writings. ‘Yet this Magisterium is not superior to the Word of God, but is its servant’ (Catechism of the Catholic Church, 86). Can a servant give authority to his master? Of course not! Neither can the church give authority to the Word of her Lord.

The Bible was not given by the Catholic Church.
The Bible is inspired by God: is not given by the church, but to the church. Catholic apologists are so eager to elevate the authority of their church, that they even flatly contradict the teaching of their own church. The First Vatican Council declared:

The books the church holds to be sacred and canonical not because she subsequently approved them by her authority after they had been composed by unaided human skill, nor simply because they contain revelation without error, but because being written under the inspiration of the Holy Spirit, they have God as their author, and were as such committed to the church.

The Scriptures are the rule of faith because they are the Word of God and not because they were approved by the authority of the church. So much for the idea that the church gives authority to the Bible, or that the church gave the Bible!