。
She kept studying her entire life.
Literal
She [topic-は] entire-lifetime studying [object-を] continued.
一生涯 ('one's whole life') is an emphatic counterpart to plain 一生 — adds 涯 ('limit, edge') for the sense 'right up to the end of life.' Common in eulogies, biographies, and dedications: scholars, artists, and craftsmen are praised for 一生涯 commitment. ~を続ける ('continue X') frames the studying as an unbroken thread, not a series of fits and starts. The verb 続ける is transitive — it takes an object — so contrast 続く ('to continue,' intransitive).