If you want a monitor that can do all of the cool things at once (2160p, hdr, 120Hz+, freesync) without using hacks like dual cables or realtime lossy compression, then you need both a video card and a monitor that support hdmi 2.1 or displayport 2.0.
Currently there are very few monitors that support the newer hdmi/dp standard, and there are no video cards that do. However both of the new consoles scheduled to be released later this year (xbox series x, ps5) will support hdmi 2.1. This also implies that upcoming discrete gpus will support this as well.
This means if you want a monitor that can do everything, right now there are only a tiny number of screens, and no video cards. Barring any delays, the situation should be very different in a few months.
