'To be' is the infinitive form and is used a) after certain verbs, b) after adjectives, c) after adjective and enough.
a) She needs to be on time. b) I am happy to be here. c) She is beautiful enough to be a model.
'Being' is both the present participle and the gerund form of the verb.
Present participle is used after the auxiliary in the continuous tenses. She is being very good (now). She is always being difficult (this is usually used to describe negative habits!)
Gerund is used a) as a subject or object. b) after prepostions. c) after certain verbs.
a)Being deceived can make someone feel angry. b) I'm tired of being his friend. c) I love being on holiday.