What kind of treatment will I get?
The construct “받게 될까요?” is a combination of three different grammatical elements: the verb 받다 (to receive), the causative/passive form ending 게 되다, and the question ending -까요.
The verb 받다 is in its infinitive form, and is followed by the causative/passive ending 게 되다, which means “to become something that is caused or passively experienced.” In this case, it means “to become something that will be received.”
Finally, the sentence ends with the question ending -까요, which is added to make the sentence a question.
Other examples of this grammatical form include:
먹게 될까요? (What will I end up eating?) 듣게 될 거야. (You're going to end up listening.) 보내게 될까요? (Will I end up sending it?)