She had her portrait painted.

Literal

She [topic-は] her own portrait-picture [object-を] caused-to-be-drawn.

描かせる is the causative form of 描く ('to draw, paint, depict'). When the agent of the painting is unstated and the subject is the patron (the person commissioning), the causative reads not as 'forcing someone' but as 'having something done by an artist' — i.e., commissioning. 肖像画 ('portrait painting') compounds 肖像 ('likeness') + 画 ('picture'); a slightly formal Sino-Japanese term.