Both sentences have the same meaning. You don't have to use got in the first sentence but most people do unless they are speaking formal English. Because 'have' and 'got' have the same meaning some of us use only 'have'. All of the ESL teachers I work with from the UK, Australia, NZ and Malaysia all say 'I have' never 'I have got'.

I usually like to find a way out of using "got" all together. There is usually a way around it. The word is very relaxed. There are times when it is handy, and relaxed words are what you are looking for. "I have got a deal for you" is one of those times. This is said when you want to be friendly, and get someone to invest in an idea. This is one time that "got" just sounds good...

They're the same word.

As far as I know, "I have got" is used in "British" and " I have " is used in "american" English! That's the difference. Hope this helps.