The hardest part for beginners is probably wrapping their head around the concept of the rendering pipeline, with it's various stages. Once this is settled, it becomes much clearer what the various shaders do and how they interact with each other. So I'd higly recommend spending some time to understand rendering pipelines first.
It's also worth getting familiar with terminology early on, because common terms in the context of graphics programming have different meanings to their common usage. e.g. I've found it helpful to think of a "vertex" first and foremost as an element of an array, which is processed SIMD-style by the "vertex shader". In most cases it is the co-ordinates of a polygon vertex, but usually with other data bundled in the element as well such as texture co-ordinates. The term "shader" seems to be used for any program that runs on the GPU, regardless of whether it does shading of any kind.
Oy vey
WebGL is better than that because it is only the useful, fast subset, and provides some objects too. Plus JavaScript is easier to work with than C, too.
Anyway modern APIs are not stateless, having an object that contains the state is the same. In the end, it is still all about bind this, bind that, do this, do that.