The verb 'to have' is a regular verb, so it needs the auxiliary 'do' to create negative sentences and questions:
I don't have time for that
Do you have a pair of shoes?
In the structure 'have got', the word 'have' works as an auxiliary verb, so you do not need to use the auxiliary 'do':
I haven't got time for that
Have you got a pair of shoes?
The verb 'have' is used as an auxiliary verb in structures like Present Perfect or Past Perfect and also as a regular verb, where it indicates possession of objects, characteristics, relationships, etc. Here you have some examples:
1. HAVE:
Affirmative sentence: I have something to tell you.
Negative sentences: I do not have anything to tell you.
Questions: Do you have anything to tell me?
2. HAVE GOT:
Affirmative sentences: I have got a pen for you.
Negative sentences: I have not got a pen for you.
Question: Have you got a pen for me?
Have got: Theory + activity (British Council)
Have Vs. Have got: Theory + exercises (Curso inglés)
Have/Has Got + Physical description (WordWall)
Have Vs. Have got: Sentences (WordWall)
Have Vs. Have got: Quiz (Wordwall)
Have Got: Listening (British Council)