What's the term for a group of people who enjoy literary works?

Solution 1:

I don't know any Korean, but answering the question's title, I would call it a circle.
Lexico has this

circle
NOUN

2 A group of people with a shared profession, interests, or acquaintances.
His court became the centre for a dazzling circle of poets.

So you could say

My literature circle meets every Tuesday.

Solution 2:

Bibliophile.

From Wikipedia's entry on Bibliophilia:

... a bibliophile or bookworm is an individual who loves and frequently reads books...

The plural is bibliophiles. Of course, this terminology may not be exactly what you want, if you mean a group of people who interact with each other, like in a book club. But other than a more casual term like "book lovers", it's the closest term available for someone who loves books.

Solution 3:

I suggest ‘literary enthusiasts’. Which would cover anyone who is keen on literature.

If you wanted to be witty, and a bit sarcastic, you could describe them as the ‘literati’. Which isn’t really a word, but everyone will know what you mean, because it sounds like glitterati, which means, the elite, educated, upper class etc. Then, they’d sound like glamourous people who rush around to book events, drinking champagne and listening to authors. ...Which hopefully, they do!

https://www.thesaurus.com/browse/glitterati