Nudity: None (as you would expect for 1941). Woman does begin to undress in front of a man in her apartment before realizing he is a doctor doing an examination. She removes a stocking and is seen in her chemise.
Engaged man keeps a barmaid in an opulent apartment as his mistress. Sex is therefore implied.
Ivy attempts to seduce Dr. Jekyll, but it is not nearly as explicit as in the pre-Code 1931 film version.
Hyde supposedly rapes Ivy in a carriage. But it is not particularly graphic and nothing is shown.
Jekyll feels frustrated sexual desire for his fiancee (played by Lana Turner), and his frustration leads him to drink the potion that turns him into Hyde. (This is more vividly depicted in the 1931 film version, which was made pre-censorship, than in this one.)
Hyde forces Ivy to sing for him, and forces her to smile too. Then he supposedly rapes her. Nothing graphic, except Ivy near the wall and Hyde kissing her. It's a nonconsensual kiss.