While you won't receive Bonus Love directly by simply streaming, you'll receive Trophies that count towards your Weekly League participation for that week, and winning your Weekly League group will earn you Bonus Love. See also: Help Article: "What are Weekly Leagues?".
Streaming minutes will also earn your XP Points to level your artist account up! Also, having a solid schedule of shows is an excellent way to let your audience and fans know when you're streaming, so they can attend your show and net you even more Love by donating to you.