。
He's the jerk who bailed by dumping all of last month's class duty on me.
Literal
Last-month [attributive-の] daily-duty all I [dative-に] pressed-onto [form-形で] escaped bastard is.
An angry student rant. 日直当番 ('daily duty rotation') is a fixture of Japanese school life — students take turns on tasks like classroom cleaning, erasing the board, and leading attendance. 押し付ける literally 'press onto' is the standard verb for foisting unwanted work on someone. ~た形で ('in the form of having done X') treats a completed action as the 'style' or 'manner' in which the following action was achieved — 'bailed by dumping it on me.' 野郎 is rough masculine slang for 'guy, bastard.' The particle を on 全部 is dropped in casual speech.