"How do I get past the bear on Mt. Gelato? You must befriend the bear by giving it gifts - 14 honeys or 28 fish will do the trick. You can give up to 2 honeys or 4 fish per day. To give the bear a gift, approach its cave with the gift in your hands."
Source: The FAQs pinned to the top of this page (use it boys and girls, it's not there to look pretty)- http://www.gamefaqs.com/boards/933022-harvest-moon-tree-of-tranquility/47959760