First you need a "GUI" display card in your computer. This is what you connect your computer monitor to. You already have this.
Then for more processing power for resolve to play more complex corrections at real time you should add a Cuda capable "gpu" card ( this is another video card and you do not hook up any monitors to it, resolve just uses the processors on it)
Finally to output resolve picture to a calibrated broadcast monitor (like a professional Sony, fsi, etc) you need a black magic card like the decklink you mentioned, but any current black magic card should work. This is so your corrections will look correct in other professional environments. If you are just learning the controls or grading for web you don't absolutely need this
But all this is clearly defined in the configuration guide