”Speak the speech,
I pray you, as I
pronounced it to
you, trippingly on the tongue”

Learning to speak OP is no more difficult than learning to speak in any English accent that is not one’s native accent. It helps if you have a good ear for picking up differences in the way people speak.

OP is unlike modern accents in that – in the absence of time travel – there is no place one can go to to hear people use it natively; on the other hand, there is now a good range of illustrations online, and these should be listened to first. Unless you have an incredibly good ear, it’s useful also to have a basic ability in phonetics, at least to the extent of being able to read and sound out the features of OP reflected in the transcriptions.