Drawing readers to a mixed-genre creative writing site?

Ok, hate to do this, but another “I want a blog” post. Hopefully nobody asked this exact question.

I notice with some suppressed horror that WordPress now has 50 million blogs alone.

Supposing someone wants to publish their own writings online and sets up a site. The writings are both fiction and non-fiction. How does one draw readers to such a mixed-genre site? I would hesitate setting up something that no one reads.

I’m not talking about getting a lot of generic web traffic, or generating any commercial results, just getting actual literary readers who might be interested in the content.