Have got and have mean the same. Have got is more informal. We use have (got) here to refer to both verbs:
I’ve got a terrible pain in my back. I have a terrible pain in my back. (more formal)
They haven’t got a car. They They don’t have a car. (more formal)
They haven’t got a car. They They don’t have a car. (more formal)
We use have (got) to talk about possession, relationships, characteristics and illnesses. In these contexts, it is not used in the continuous form.
She’s got two cats and a dog. She has two cats and a dog.
Not: She is having got two cats and a dog.
Have you got a drill? Do you have a drill? (more formal)
How many brothers have you got?
How many brothers do you have? (more formal)
She’s got a new boyfriend.
Not: She is having got two cats and a dog.
Have you got a drill? Do you have a drill? (more formal)
How many brothers have you got?
How many brothers do you have? (more formal)
She’s got a new boyfriend.