So this is about DaVinci Resolve since it has the most flexibility for setup, many other systems are borderline turnkey.
The recommended setup is a super micro chassis with dual xeons (12 core cpus min rec, 20 core preferred), min 32GB ram (usually at least 64,128+ common on high end systems), SSD for OS, thunderbolt (min)/pciE/10GbE/fibre (preferred) attached storage usually 8 bay raid6 or similar min, almost always NVIDIA GPUs with 8x 1080ti's or the latest Titans being the most common set up I see.
This runs on CentOS or RHEL 6.8 or 7.3.
Video signal is output over SDI from a PCIe to a LUT box (for color transforms) then to a color critical display (FSi, Sony, or Dolby typically with the best suites using cinema projectors). A second SDI runs out to a box showing video scopes. Everything is usually calibrated by light Illusions software and using a Minolta colorimeter probe (typically a 3rd party service does this every few months).
The GUI monitor(s) are usually just regular consumer whatever.
The software is controlled by a large, $30K control panel that looks similar to an airplane cockpit.
That's most of the important stuff, but I can fill in details where you're curious.
