。
She went there to meet (with someone).
Literal
She [topic-は] meet [in-order-to-ために] there [to-に] went.
~ために is the standard pattern for 'in order to V' — used when one action is undertaken with the purpose of accomplishing another. The subjects of the ために-clause and the main clause typically match: same person who's meeting is the same person who went. This is sister of the more compact V-stem + に + 来る/行く pattern (会いに行く, 'go to meet'); ~ために is just slightly more emphatic about the purpose. The bare verb 会う leaves the meeting partner unspecified — context fills in the blank.