hmm, the Nehe tutorials? I really wouldn't recommend you use those these days, they're old and teach outdated OpenGL. If you are going to invest time in learning OpenGL you really should go straight to learning modern OpenGL. If you learn old opengl (fixed function pipeline) then its quiet a challenge later adapting to the mindset of new OpenGL (programmable pipeline) so best to just start with it.
I would recommend you use this tutorial/book 'Learning Modern 3D Graphics Programming'
there are LWJGL ports of the examples in there here
to assist you with your learning.