You can use liquid-liquid extraction, azeotropic distillation and extractive distillation to purify aqueous acetic acid. Simple and fractional distillation do not work at lab scale, fractional distillation requires many stages at industrial scale and is never done as it's not economically feasible to build columns that big (although is technicaly possible).
If you're talking low concentrations of acetic acid, first use liquid-liquid extraction. One you get your more purified acid, it'll still be wet, then you have to go on to azeotropic distillation. A suitable solvent for liquid-liquid extraction is ethyl acetate. If it's a relatively concentrated solution, then use azeotropic distillation. Azeotropic distillation can be a bitch but it is totally possible... you just use toluene to remove the water using a Dean-Stark trap with a fractionating column... recycling until you hit the BP of toluene. Then fractionally distill what remains to separate the toluene and acetic acid.
My only suggestion for a kitchen chemist who doesn't want to go thru that extensive labor and pricey distillation equipment is to add baking soda, form NaOAc, dry that, add sulfuric and distill. You can search for my nick on how to do this... but, I know you're going to be asking yourself--is it worth it for something as easy to obtain as GAA?
Fuck, I don't even think it was worth my time writing this reply.