The problem isn't just how to read the bible, it is how to receive spiritual understanding when we read it. Lots of people know what it says intellectually, and haven't a clue who God is. These people usually say something like "it is only........" They get excited about one aspect of God, or use one bible verse with the idea that if that is true then these other things about God isn't true. So as you read, don't limit God. Or they read through some man's eyes and think a person or a denomination has all the answers. None of us do. All of us see darkly, as scripture explains it. God tells us "let and blind lead the blind". We can trust scripture as truth, but we can't trust man as truth.
I have spent a lifetime in prayerful reading, and it seems to me that even 20 years ago I knew nothing and finally, I am getting a glimmer of our creator. And then, again, I have met little kids who I am humble before, their knowledge seems so profound.
There is one kind of extra reading that really helps. In the bible, God often uses the physical happenings in the world of the time God was talking about to explain spiritual truths. Many of these happenings are so long ago it is hard for our minds to comprehend them because all we know is today's world. The more you know about the world of the happenings it talks of the better you can understand what God is teaching in the spiritual realm that is the same, today. Time is getting us farther and farther away from those worlds. God is giving us archeology, now, that helps us understand the world of the bible, and through that we can better understand God's messages to us for today's world.