Was only a matter of time. In the first 3:53 of the first period of Game 1, the Los Angeles Kings controlled the puck for basically the entire stretch. On the one chance Phoenix had where they controlled possession, they stuttered offsides and gave position right back to the Kings.
So when Dustin Brown drew three defenders his way near the Coyotes net and dished the puck off to a wide-open Anze Kopitar, it wasn't particularly surprising that the backhand shot found the back of the net behind Mike Smith. 1-0 Kings.
Phoenix killed a penalty after the goal, and while the Kings aren't all that great a power play team -- pretty awful, actually -- it's just a continuation of the dominance L.A. has shown so far in the hockey game.