The amount of Scripture we read in one week in the Presbyterian Church (as a congregation, so to speak) equals the amount of Scripture that Catholics will read in a single day. The difference is how we view Scripture and how it is used.
I generally don't like getting into how much Scripture is read at Mass or in the Office because that just descends into an argument between the Novus Ordo and TLM lectionaries. Here I am trying to put another nail in the coffin of an age old argument: Catholics don't read the Bible. Practicing Catholics do. Barely practicing Catholics don't. Which is why they are such an easy pick-off for different sect groups.
If you are a serious practicing Catholic and pray the Office (we'll say the new one for now) and attend daily Mass, you will read the following parts of the Bible just today.
Exodus 33:7-11, 18-23 and 34:5-9, 29-35
2 Corinthians 3:13, 18, 15 (Responsory)
2 Corinthians 6:2, 4, 5, 7 (Responsory)
Deuteronomy 7:6, 8-9
Ezekiel 18:30b-32 or Zechariah 1:3b-4b or Daniel 4:24b
Deuteronomy 4:1, 5-9
Psalm 147: 12-13, 15-16, 19-20 (Responsory)
That's just the prescribed readings in the liturgy today - without anything extra. I didn't count the incidental verses contained before each Psalm in the Divine Office, nor did I scour the liturgy for direct or indirect quotes from the Bible.
We can argue whether or not it all sinks in. Sometimes less is more and sometimes if you throw enough out there something is bound to stick. I like to think of the Church's use of Scripture as an immersion into the Word of God rather than stand alone readings.