The movie's central theme, in which humans wish to find ways to reverse the damage we've done to our planet, is a positive one, but the method one particular scientist is working toward will only succeed if huge numbers of people die. Cursing is infrequent, but characters do say 'f-k,' 's-t, 'goddamn,' 'ass,' and 'bitch,' generally in reference to the monsters. Romance/sex is almost nonexistent, save for a few references to mating monsters, and there's no drinking (one character does have a beer on his desk and refers to inviting a monster over for a beer). A couple of deaths are scarier, including ones in which characters sacrifice their own lives to save others. That lessens the impact, but young/sensitive viewers might still be scared. but there's no blood or gore, and the deaths are usually pictured from a distance. Scores of people are killed - crushed, eaten, dropped from great heights, hurled against walls, imprisoned in giant webs, etc.
Expect destruction on a massive scale: Giant swathes of land and cities full of people are wiped out by monsters who stomp through civilization heedlessly. Parents need to know that Godzilla: King of the Monsters is the sequel to 2014's Godzilla it features the same giant lizard, as well as a host of other massive monsters.