The current infestation of kudzu bugs are adults that overwintered under tree bark, within house walls, or in mulch. These adults are waiting for the kudzu to start growing. As this happens over the next month, they will fly into the kudzu, lay their eggs, and then die. A new generation will hatch and feed on kudzu and other bean plants through the summer.
Read the whole article posted on the Pender Extension website to learn more about kudzu bugs and if you should do anything to control them: http://pender.ces.ncsu.edu/2013/04/what-can-i-do-about-kudzu-bugs-2/