Reddit mentions of How to Read the Bible as Literature: . . . and Get More Out of It

Well first of all I'd recommend reading the New Revised Standard (NSV) Bible; it's considered the closest to the original source. If you haven't read the Bible as a whole or even just haven't read this version before you may be able to just do it yourself as long as you keep reminding yourself to just read the text slowly and plainly as a fictional story and take a break every book or so to make sure your thoughts are supported by the text.

I took it as a class and that was helpful because there was someone not really guiding you but sort of correcting you when your interpretation was influenced by something other than the text, which was a pretty common difficulty for people who read the Bible once or more as a religious person. You could probably arrange to sit in on a class at a nearby university if that seems doable. Also, I googled and found a book about it that's pretty cheap that's summary seems to be pretty on par with what I'm talking about but I haven't read it so I can't speak to the quality.

But really it's about trying to see it as a work of literature, maybe read an article about how to examine literature first if you try to go it alone and treat it like any other book. Try to take in the plot, the imagery. Look for the characterization of the people and of God himself, look for metaphors, similes, symbolism, clever wordplay and humor, stories of human joy and suffering. Take note of the style and purpose of the writing, some books are written in song, some are lists of lineages, some are simple moral parables, others are more nuanced.

Also, an important part of literary analysis is knowing who the author(s) was(were) and when and why they were writing. This is a big part of why the Bible is such an interesting work of literature; it's really the first (surviving, at least) book written about normal people by normal people. Before the Bible people only wrote about the gods and of epic heroes and kings and here are these stories about farmers and slaves and every day people just doing every day things, no glamour or glory. The parts that aren't believable are almost always symbolic or metaphorical - a surprisingly (although not wholly) consistent stylistic choice throughout considering the several different authors - and the parts that are believable are often surprisingly candid and human when read plainly. It's a book about struggle, it's a book about living under an oppressive government, it's a book about the importance of human kindness and compassion and cooperation. Spend a little more time googling about the lives of the authors too if you plan on trying it out solo, it will also help you understand where the text is coming from.

Sorry for writing so much. Good luck!