The Bracha Rishona on Ice Cream is Shehakol, and the Bracha Acharona is Borei Nefashos.
Even if the ice cream is eaten in a cone, only Shehakol is necessary, since the cone is eaten only because of the ice cream and is clearly Taffel (subordinate) to it. It's purpose is actually not so much to be eaten as to hold the ice cream and to prevent the hands from becoming soiled (see Shulchan Aruch, Orach Chaim 212b; Mishnah Berurah 212:5; Kaf Hachaim 15). However, if you specifically use a sugar cone because you enjoy eating it, a Mezonos must also be said before eating the cone.
Blessed are You Hashem our God King of the universe, Everything was created through His words.
Baruch Atah Adonai, Eloheinu Melech Haolam, Shehakol Nihyah Bidvaro.
Blessed are You, Hashem our God, King of the universe, Who creates numerous living things with their deficiencies; for all that You have created with which to maintain the life of every being. Blessed is He, the life of the worlds.
Baruch Atah Adonai Eloheinu Melech Haolam, Borei Nefashos Rabos V'chesronan Al Kol Ma Shebarasa L'hachayos Bahem Nefesh Kol Chai, Baruch Chei Haolamim.
לעילוי נשמת
ר' פנחס אליהו בן יעקב יוסף זצ"ל
ר' חיים יצחק בן דוד זצ"ל
In Memory Of
Leon Manaster
Chaim Melcer