Did The NHL Get Drouin's Suspension Right?

Today, the NHL announced that they have suspended New York Islanders' forward Jonathan Drouin one game for his cross-check to the fact of Pittsburgh Penguins' Connor Dewar. 

Over the years, we've seen the NHL be fairly strict with this type of infraction. So, I'm wondering did the NHL get this one right? Should it have been longer? Or did he deserve a pass because it is his first suspension of his career?