Make sure to visit the (recently restored) paintings of the 7 virtues in Room 9, the first of which was made by Sandro Botticelli. Not his most renowned work, but stunning in terms of color & detail!
"Secret" tip: if you arrive on Saturday afternoon, you can purchase a ticket directly at the gallery- no line at all!- and visit until late in the evening. Plus you don't pay the online booking fee! K
Book in advance or get here as early as possible! Save some energy for the Bottichelli and Donatello rooms - they are among the best collections, but unfortunately crowded and near the end.