。
She continued her research throughout her life.
Literal
She [topic-は] lifelong research [object-を] continued.
終生 (しゅうせい) means 'throughout one's life' or 'lifelong' — a formal, literary adverb. 研究を続ける (to continue research) is straightforward. The polite past 続けました gives a respectful, perhaps obituary-like tone — commemorating a life dedicated to scholarship. 終生 is notably more formal than 一生 (one's whole life).