Speaking as a non-Christian who loves the Bible as literature:
The Bible isn't a book, it's a collection of books, written in different languages over a period spanning nearly a millenium, and it was ordered the way it was for doctrinal and pedagogical purposes, not for being an enjoyable read. Here's how I usually suggest people approach it to get the gist:
Start with the Gospels, good ol' Matthew, Mark, Luke and John. This is like starting with Episode IV of Star Wars, or The Crystal Shard in the legend of Drizzt... it might not make sense to the uninitiated, but this is the good stuff.
Then flip back to Genesis and Exodus. The prequels, basically. Skip over the really boring parts with all the begats, unless you're into that sort of thing. Most of the best stories of the Old Testament are found here.
Jump forward. Read Job. Then Ecclesiastes. Two very important books.
Then go to the New Testament again. Read Acts - I know it's kinda the Episode VII of the Bible, but it tells the stories of what happened afterwards.
Then Revelation. With or without the psychedelic drug of your choice.
Dip into the rest of the Bible as the spirit moves you. There's some good stuff in the early books after Exodus, but it can be few and far between (with lots of discussions about how to purify yourself after unclean bodily emissions in between). The histories (Samuel, Judges, Kings) have their moments. Psalms and Proverbs can be nice to dip into. Never been a big fan of the prophets or the letters of Paul, but they have their fandom.
And, of course, after that there's the fanfic - aka apocrypha - but that's for another day...
