He told me his life story.

Literal

He [topic-は] his [genitive-の] life-of story [object-を] me [target-に] do-give [polite-past-くれた].

してくれた combines する ('do') + ~てくれる ('do for me/in my benefit') in past tense. 話 ('story') here serves as the object of the verbalized 話をする ('to tell a story'). Note the structure [thing]+の話 ('a story of X') is the standard 'a story about X' pattern. The presence of くれる explicitly marks the speaker as the beneficiary of the storytelling.