It depends on the processor. This one doesn't have its own graphics unit, so you'll actually need a dedicated GPU. The CPUs with an integrated graphics unit end with "G". However, there are no high-end models with a graphics unit.
E.g. this one:
AMD RYZEN 5 2400G (AM4, 3.60GHz, Unlocked)
If you don't need graphics at all (headless system), it depends more on the mainboard. Many BIOS systems wait for a keyboard and a graphics card when booting. You won't need either with a headless server. Therefore, it is much more important to find a mainboard that can be safely booted without these two components.
Depending on the operating system, you will need a GPU at least to install the operating system. Alternatively, you can install Linux without a GPU, unsupervised via PXE, but you have to configure this in the BIOS... for this you need a GPU.
