Beautiful—The Carole King Musical shares several virtues with its titular singer-songwriter, among them humility, earnestness and dedication to craft. If Douglas McGrath’s book never achieves the dramatic grit or comic zip of Jersey Boys, at least director Marc Bruni’s production avoids being a brain-dead, self-satisfied hit parade à la Berry Gordy’s Motown. Still, it does seem that stretches of Broadway’s newest jukebox musical consist of situations such as this: “Carole, you’ve got to write us a hit!” “I’ve written something.” “It’s a hit!” Yes, Beautiful loves its diligent, long-suffering pop genius, and invites you to do the same.