Shakespeare wrote in Modern English which we can read well enough. Old English on the other hand is hardly recognizable as the root of our mother tongue. I’ve been learning OE for a while. Here’s a small taste.
Ƿiþ ſƿiþe moniᵹe biterneſse is ᵹemenᵹed ſio ſƿetnes þiſse ƿorulde.Old English Boethius, chapter XI
In modern letters, it would read With swithe monige biternesse is gemenged sio swetnes thisse worlde, in Modern English With much bitterness is mingled the sweentess of this world.