I highly recommend the Bible in a Year podcast series from Fr Mike Schmitz [0]. It's very approachable but also gives you enough theology and historical context to get a handle on the 'bigger picture' and how all the parts fit together. You don't have to use the sign-up link below, it's also available anonymously from all the usual podcast providers.

If that's too challenging (he does talk very fast, and there's a lot to take in), an even easier route to follow is Nicky Gumbel's Bible In One Year [1].

Of course, they both come from a believer's perspective - one Catholic, the other evangelical protestant - but after following them you will get a good idea of what adherents claim the Bible is about (i.e. the people for whom it was written) and then you are in a much better position to make sense of any archaeological/literary-analysis approaches to deconstructing it. Also, a visit to any art-history gallery will take on so much more depth because you will understand the stories behind pictures that depict Biblical themes.

[0] https://ascensionpress.com/pages/biy-registration

[1] https://bibleinoneyear.org/en/