Just like in Virginia, the Democrats took control of the New Hampshire legislature in the 2018 elections.
Their legislature, by the way, is called the General Court.
Of the House of Representatives' 400 members, 233 are Democrats, 165 are Republicans, and 1 is a Libertarian. That is a significant majority. Frankly, it's overwhelming.
The New Hampshire Senate has 24 members. Of those, 14 are Democrats and 10 are Republicans.
Governor Sununu could still veto any supposed anti-gun legislation that reaches his desk. I don't know anything about the workings of New Hampshire's General Court, so I don't know how their veto override procedures work; how many votes it'd take to override the governor's veto.
I also don't know anything regarding how vehemently anti-gun all the legislators are, regardless of their party affiliation. I think if I lived in New Hampshire, I'd be contacting all of the Court's members, not just my own reps. Ditto for the governor. Make your opposition known to him!
This legislation isn't as restrictive as the ones being considered in Virginia, but still...if it becomes law, it's another brick in the anti-gun/anti-2A wall.