This is a guide to Vulkan, written in the context of Clojure and LWJGL.
You'll need a GPU that supports Vulkan, some familiarity with the Clojure language, and a Clojure development environment with which you're comfortable.
Vulkan is fairly new and I'm still learning it myself, so this guide is not authoritative and will probably have mistakes.
Check your system for compatible hardware, install the necessary drivers and SDK, and run the LWJGL Vulkan demos.
Learn the basics of LWJGL and GLFW by taking apart LWJGL's Getting Started Guide.