For a three-act plot analysis, put on your screenwriter’s hat. Moviemakers know the formula well: at the end of Act One, the main character is drawn in completely to a conflict. During Act Two, she is farthest away from her goals. At the end of Act Three, the story is resolved.
Act I
Kate's shrewish behavior has isolated her from her family and she has zero marriage prospects. Petruchio comes to town looking for a rich bride and agrees to marry Kate despite her shrewishness.
Act II
Kate and Petruchio are engaged and quickly married. Petruchio sets out to tame Katherine of her shrewish ways. During their honeymoon, he behaves like a "shrew," ranting, raving, and physically abusing the servants. He also starves Kate, deprives her of sleep, and messes with her head when she refuses to obey him.
Act III
Finally, Kate breaks on the road to Bianca's wedding. She agrees to play along when Petruchio pretends the sun is the moon and an old man is a young virgin. At Bianca's wedding, Kate delivers an impassioned speech about women's duties to their husbands. The couple runs off to bed and they live happily ever after…maybe.