Sometimes I think you have to ask for a box, but I am sure you can go back and request a box from the SA who sold you the LV...all my LV items purchased from ELUX or at LV (I only have 1 item purchased from LV boutique) and everything came in dustbag and placed in a box.
Depends on your SA. Mine will sometimes ask (and I'll refuse because they're heavy to carry while shopping + I have too many LV boxes at home!)...other times he just boxes them up without asking...and once or twice, I've gotten my items in those brown paper envelopes.
All of my LVs have come with a box (but not all of them came with the LV ribbon). I never had to ask for the box but I think the ribbon came when it was asked to be "wrapped." My BH is the only bag that came in one of those boxes that need to be constructed (like the kind you get at Banana Republic) the others are those real sturdy boxes that fit like a puzzle. If your SA doesn't give you one I would def. ask for them at every purchase!!!!
If you request gift wrapping it will come with all the trimmings including the ribbon. They will also remove any plastic on the item if it were a gift. It's better to ask your SA politely how you want your item wrapped just a box and with the original wrapping of the bag. Otherwise you might be more upset to find they've removed everything that made you purchase the immaculate item in the first place.
Mine came with the boxes and ribbons. But my aunt's bags never did because she never asked for it but when I went to the LV store to buy the wallet, I told her SA about it and he just gave me boxes for her. Gucci Stores always boxes them for you. Coach Stores you have to ask also.