Me is the pronoun object of the infinitive.
Executed is a past participle used as an adjective complement of the pronoun "me". It is a resultative adjective and describes the condition the object will be in due to the action of the infinitive "get".
"Is going" is the main verb in the progressive form. It is present tense but signifies future time in this use.
This might be easier to follow with a slightly different choice of words.
The chef is going to cook the steaks rare.
Student or Learner