I'll look it over when I get back.

Literal

Returned-come [after-てから], eyes [obj-を] pass-through [reason-から].

目を通す ('pass one's eyes over') is an idiom meaning 'skim, look over, review.' 戻ってきてから chains ~てくる with ~てから ('after returning'). The sentence-final から ('because') is explanatory — roughly 'I'll do it because I'll be back.'