No EEVEE, incompatible license (GPL).
The current way to do shaders is using Cycles XML material (available after TestShowPrivateContent), and then using GhShaderNodes to create shader graphs. At this moment no clear plans on shaders in Grasshopper 2. But no doubt there will be an effort to do good integration.
There is import_3dm for Blender, but no live links planned.
I guess these are the same as the first, with exception of animation.