1) She had better get out of here -- CORRECT ('had better' + bare infinitive) ('had better' = ' 'd better') 2) She had better gets out of here -- INCORRECT
If you had better to do something, it is advisable or prudent to do it. If you don’t, there will be a problem or a danger: You’d better see a doctor, O.K.? If you had best to do something, it is the wisest to do it: You’d best stay at home till you get over that cold = You should stay at home till you get over that cold. Hope that helps!