I recently came across a really well written and free guide/book for using LWJGL 3 titled 3D Game Development with LWJGL 3. It's a good read, especially for new users who want to get up to speed quickly.
It covers a number of topics including:
1 First steps 2 The Game Loop 3 A brief about coordinates 4 Rendering 5 More on Rendering 6 Transformations 7 Textures 8 Camera 9 Loading more complex models 10 Let there be light 11 Let there be even more light 12 HUD 13 Sky Box and some optimizations 14 Height Maps 15 Terrain Collisions 16 Fog 17 Normal Mapping 18 Shadows 19 Animations
The book can be found here.
It can be read online or downloaded in one of the several available formats (.pdf, .epub, .mobi).