You can get more from Shakespeare by studying the text and increasing your knowledge of the background and history etc. However, it is not necessary to understand every word   - indeed, I willingly concede that most people would be unlikely to. It is the subtext which is more important. In a good production, that is made much more clear than the actual words by the acting. If you simply watch what the characters actually do, rather than than try to unravel every word they are saying, you form a much clearer picture of what is going on. Schoolchildren are usually quite capable of comprehending Shakepeare when they see it.
I must add that I enjoyed Desdemona's comments a lot.