She landed a part-time job as a typist.

Literal

She [topic-は] part-time [genitive-の] typist [genitive-の] position [object-を] obtained.

職を得る ('obtain a position') is the slightly literary alternative to 仕事を見つける or 仕事に就く — 得る (える / うる) carries a more formal, even success-tinged note than the everyday 見つける ('find'). タイピスト itself is a near-obsolete profession outside of court reporting and certain niche office roles, replaced by general 入力 / data entry; the word survives mostly as a relic in older textbooks and translation databases. Note the chained のs — パートタイムの → タイピストの → 職 — building up a long noun phrase via successive attribution.