There are in French two types of "h" : please find more information here http://french.about.com/od/pronunciation/a/h_3.htm

yeah

je bois, tu bois, il/elle/on boit, nous buvons, vous buvez, ils/elles boivent

Neither. French (as Portuguese, Spanish and other latin languages) uses conjugations for its verbs. This means that the verb is altered whenever the subject changes. Think of it as if every verb in french were irregular - and then a little more difficult. Further reference on the conjugation of boire: http://french.about.com/od/verb_conjugations/a/boire.htm