There are 10 new trophies in this DLC.

Bronze

What Witness?
Finish the Witness level in "Joe's Adventures."

Arctic Grave
Push the chief witness into the ice lake in "Joe's Adventures."

Dockyard Discord
Finish the Connection level in "Joe's Adventures."

Five Finger Discount
Finish the Supermarket level in "Joe's Adventures."

Mind the Goods
Finish the Cathouse level in "Joe's Adventures."

Hypersonic
Reach 2000 points for one velocity run in "Joe's Adventures."

Jacked Jumper
Reach 200 points for one Jump in "Joe's Adventures."

Driftin' Daddy-O
Reach 200 points for one Drift in "Joe's Adventures."

Jack of all Trades
Reach 10 different score actions in one mission in "Joe's Adventures."

Silver

Same Shirt Different Day
Finish Joe's Adventures on any difficulty.

http://www.ps3trophies.com/forums/trophy-news/43986-mafia-ii-joes-adventures-dlc-trophy-list.html