/u/KookyWrangler recently answered a similar, less specific question, with an assist from Mary Beard (the quote appears to be from her 2008 book about Pompeii, though KookyWrangler doesn't specify).

/u/mp96 has previously compared the Imperial Cult to the Pharaohs and also wrote about Claudius becoming a god.

/u/BluWacky explained how Nero became a god.

Official FAQ answer to this category of question: 'Did Romans really believe that Emperors were Gods?'