Who: Army guy due to being granted excellent physical condition and combat training.
What: Guns, Super Soldier Serum, body armour and the Book of Magic.
Guns would enable all squad members to be equipped for combat, synergizing well with 'Apple' Jackie, Lucy Cannon and Carl the Draper due to their adept knowledge of firearms.
Super Soldier Serum for obvious reasons, it would be fun to become a warrior god incarnate.
Body armour for the extreme increase to survivability it grants, especially against zombie bites.
Book of Magic because it's magic. Other items such as camping equipment, vehicles and medical supplies could all be scavenged, but where are you going to find a magic book?
Type of Apocalypse: Zombie apocalypse.
How I survived: Blind luck. Extreme luckiness would prove very useful in the apocalypse.
Companions: Father Fiddle O'Diddle, Lucy Cannon, Carl the Draper and 'Apple' Jackie.
The priest would be able to teach me Latin in order to use the Book of Magic. Lucy Cannon allows ammo to be continuously found which means the guns I have will never be rendered obsolete due to running out of ammo, plus she's hot. Carl is a literal Terminator, OP for various reasons and sure to be comically amusing. Finally, Jackie because someone has to cook for the squad, also she's hot.