Difference between Geometry Nodes and Cycles Shader Nodes?

No - they have very specific use-cases.

Shader nodes apply materials to geometry. Geometry nodes alter existing geometry or generate new geometry.

Doubt it - since they do different things.

In both cases Math is essential. To get the most out of GN it helps to know Vector math at a minimum.

No - a lot of users complain about how obtuse and difficult they are to work with. They are attracting people because you can do amazing things with it.

Hope that helped.

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