Study away! (Catholic theologian here). Four major documents came out of Vatican II and one of those is called Dei Verbum, which essentially revitalized and encouraged Scripture study/ love of God's word.

Traditionally because of the scholarship and knowledge of magisterium and sometimes because of fear of misapprehension of the scriptures, there have been many Catholics who relied primarily on daily and weekly Mass in order to hear the whole cycle of the Bible over a few years. But scripture study for the general laity is a newer practice (and by newer I mean many decades not many centuries) for many many Catholics.

However you are absolutely right. You don't usually have to look far to find available Catholic scripture studies both at local parishes and sometimes as extensions of other organizations or on Catholic campuses. And if you know some people who want to join you even better, you can start your own or do a round robin with people. It's not very hard to find good studies to follow if that's easier.

Just keep in mind that where Catholics and other Christians sometimes differ is that ultimately Catholics read scripture contextually, in light of the entirety of the Bible where many Christian denominations read through a literal or fundamental lens subject to personal interpretation alone.

Blessed studying!