Hi Talcha I'll try to answer your question. 'looking forward to' is a verb phrase. 'To' is a preposition hence it must be followed by a noun or an –ing form. So you must use the rule 'to + Gerund' and not 'to +infinitive'. Gerund (aka verbal noun) is a noun formed from a verb by adding the suffix –ing to its end. Ex: I'm looking forward to your letter. (to is followed by a noun) I'm looking forward to hearing from you. (to is followed by a –ing form). A is correct but I don't think that B is correct. A is correct but I don't think that B is correct. As a non-native English speaker I do get confused and use the to-infinitive sometimes.

as Talcha explained, A is tottaly correct, but based on grammar rules, B is wrong: after "TO" the verb can't be on infinitive form, only with sulfix 'ing', in gerund.

Hi Talcha , A is correct as "Misty" explained,but B is correct as well , as far as I know . I am looking forward + verb in infinitiv .