。
She showed me her photo album.
Literal
She [topic-は] me [to-に] self's album [object-を] showed [for me-てくれた].
見せる is the lexicalized causative of 見る ('see') — 'cause to see' = 'show.' Like 知らせる ('inform,' from 知る 'know'), it has settled into the lexicon as its own verb. 自分のアルバム — 'her own album' — uses the reflexive 自分 pointing back to 彼女. アルバム is a borrowed loanword (originally from English/German via early-20th-century photography culture), typical of names for media formats and cultural objects of Western origin.