I would 100% recommend this trip. Seeing performances of Shakespeare done by the Royal Shakespeare Company (RSC) and at the Globe Theater would alone make this trip worth it. Add in the wonderful professor, the amazing sights in Stratford and London, the manageable amount of schoolwork... every aspect of this trip was wonderful.
Day-to-Day: Generally we would have 2-3 hours of class in the morning, and the rest of the day to explore. As a class we saw ~6 plays (most at night, some were matinee) together.
Free Time: There was a lot of free time throughout the trip. After class it was our decision to do whatever we wanted. We had one completely free weekend in London, and I think 2 other free days. There was always so much to do. Most of us saw additional Shakespeare plays at the RSC (student tickets are ridiculously cheap at only 5£) and several musicals or other performances in London (which were more expensive but still within budget).
If you want to have the best time of your life, go on this trip! Even if you're not that interested in Shakespeare (actually, especially if you're not interested in Shakespeare!) this experience will change your mind because there is nothing more entertaining than well performed Shakespeare.