I usually say 糕点业 "bakery industry" and 糕点部 "bakery department", but I would name my bakery as 糕饼店 gao1bing3dian4 simply because 糕点店 gao1dian3dian4 sounds somewhat awkward (点 dian3 and 店 dian4 do not go well together in sound). As pointed out by SuperXW, 糕饼 is associated with specialty items. Confections like Moon Cakes 月饼, New Year Cakes 年糕, and local/traditional items that one buys as a gift 伴手禮 for others are sold in 糕饼店.糕点 more involves confectionery business?
糕饼 = 糕+饼can't 糕饼 be a general term for desserts too? If we interpret it as 糕+饼。