I think that you need to remember that the word "like" is sometimes a verb and sometimes not a verb.
1. I like broccoli. / I do not like broccoli.
2. She likes newspapers. / She does not like newspapers.
3. They liked the movie. / They did not like the movie.
Not a verb:
Joe: Do you know Mona? I have never met her.
Susan: Yes, I do.
Joe: What is she like? (= describe her)
Susan: She is very polite and intelligent.
Joe: Some people told me that she is selfish.
Susan: Who told you that? Mona is not like that. ( = she is not selfish)
If you want more examples of "like" when it describes a person or thing or place ("I hear that you visited Paris last month. What is it like?"), check a good dictionary. This use of "like" is usually listed as a preposition (although older books call it an adjective).