Can anyone tell me what connections one needs from a Kona 3 card for the monitor?
HD-SDI. Either single or dual link, depending upon how you want it configured.
What about calibration? What is the preferred method these days that is "affordable"?
Well, probably the most "affordable" approach is to use home theater tools and techniques, since they're based on Rec.709. A good source for information on monitor calibration is the AVS Forum (www.avsforum.com).
And is there something else that must be purchased along with the monitor to make it work as a grading monitor?
Aside from the HD-SDI module, no. It's already a proper HD video monitor. You don't have to "fake it," although as you seem to already understand, you do need to calibrate it.