Biopsy on a lymph node is often done via a Fine Needle Aspiration (FNA). It is simple as the doctor takes a needle and pokes into the neck node and extracts a bit of the material. It is fast and hardly hurts and you are awake and done in a few minutes.

I did have a biopsy where I was put under sleep but that was because they went through my mouth to extract sample far inside my throat.

In your case it seems the biopsy should be pretty straightforward.

Good luck