The U.S. Conference of Catholic Bishops website has an interesting article on “Changes in Catholic Attitudes Toward Bible Reading”
by Msgr. Daniel Kutys, a pastor in the Archdiocese of Philadelphia. He says, "Catholics who hear of and see other Christians quote or cite Scripture verses wonder why they cannot. Such experiences lead Catholics to seek familiarity with the Bible. Such attitudinal changes bode well for Catholics, especially when reading and praying with the Word of God leads to lessons learned, hearts inspired and lives profoundly moved for good."
See also on the VISION site Alice Camille’s Ask Alice about Catholicism article “Reading the Bible: Should I read the Bible myself or can I just rely on hearing it at Mass?”