what is she like?
--This means how is her behaviour/ what is her behaviour like? (Eg: is she Good-humored, friendly, moody, cordial, courteous etc.)
what does she like?
--means what does she choose to have/do? Eg: She likes to sing, She likes to dance, She likes beautiful paintings etc.
what does she look like? More appropriate question would be, "Who does she look like?"
--Meaning who does she resemble? Eg: She looks like her mother, She looks like her aunt etc.
Hope this clarifies...