。
She gave them hamburgers.
Literal
She [topic-は] them [to-に] hamburger [object-を] gave.
与える is a slightly formal verb for 'to give' — somewhat detached, often used in writing or for giving things impersonally (与える feedback, 与える damage). For everyday personal giving, あげる, やる, or くれる/もらう (with their social-direction nuances) are more natural. ハンバーガー is an English loanword written in katakana, fully naturalized.