She had her picture taken with an actor.

Literal

She [topic-は] actor [together with-といっしょに] photograph [object-を] [had-someone-take-撮ってもらった].

写真を撮ってもらう is the standard way to say 'have one's picture taken' — using ~てもらう because the photograph is a favor (the actor or photographer takes it for her). と + いっしょに ('together with') marks the companion in the photo.