I think a lot of the instincts you have doing comedy are really the same for doing drama, in that it's essentially about listening. The way I approach comedy, is you have to commit to everything as if it's a dramatic role, meaning you play it straight.
“I'm terribly sad about Farrah's passing. She was incredibly brave, and God will be welcoming her with open arms.”
“No period of my life has been one of such unmixed happiness as the four years which have been spent within college walls.”