Generally, if you're on desktop you probably already have an OpenGL C library (and headers) installed on your system.
You can use OpenGL already, if that's the case. (Tutorials will show you how to link it, etc).
If you're stuck I would recommend checking out this thread:
/viewtopic.php?f=6&t=4547
and go to the OpenGL section. I recommend the NeHe tutorials.
GLSL (GL Shader Language) Part of OpenGL. OpenGL shaders are written in this and compiled into shader programs by OpenGL. With modern OpenGL you'll care about this sooner rather than later. With older OpenGL versions, you can get away with not learning this immediately if you're not doing anything too fancy.
As for all these other libs: I haven't used some of them, and finding someone who
has used every OpenGL-related lib there is might be difficult.
Don't be paralyzed by worry that you aren't picking the objective best library out of a zillion--just dig into something and see how it goes.
Also, RTFM when possible (it'll save you a lot of grief in the long run).
GLbinding: a generated, cross-platform C++ binding for OpenGL which is solely based on the new xml-based OpenGL API specification.
GLee: (GL Easy Extension) is a free cross-platform extension loading library for OpenGL. Claims 400 extensions (dear God why)
GLEW: (GL Extension Wrangler) a cross-platform open-source C/C++ extension loading library. (Standard-ish)
GL3W: (Name is pun of GLEW, I assume) focuses on the core profile of OpenGL 3 and 4. It only loads the core entrypoints for these OpenGL versions.
Doesn't load extensions.
GLUT: (GL Utility Toolkit) a somewhat high-level wrapper for parts of OpenGL. Helps you get shit off the ground faster and learn OpenGL
GLFW: (GL ???) a high level OpenGL wrapper, seemingly. Also has input handling built in. Don't know how it compares to SDL.
You can make an OpenGL-rendered program without using any of the libraries above, but it will be more involved (and you'll learn more).
Sources: Prior experience/ Google
if I fucked up any of those Twitter-tier descriptions call me out