A question about Dialog for one of my stories

I am Lucille and P posted a story here last night. Its up. Its about a man being forcibly feminized in the 16th century on the orders of Queen Mary Tudor. I wrote it and I think its pretty good. But, then a question came to mind. The Dialog, how they spoke. I know my story was set in England in 1550s.

Wasn't their English vastly different than our own now? I know it was, if we could go back to then and try to talk to someone in 1550 London, would they even know what we were saying?

If I wanted to write the Dialog between the characters more like a English man would speak in the time, How would I do it? How would I find out how they spoke then?