She is considering applying for a post-graduate program to further her education.

post-graduate 是由前缀 post-（表示"之后"）和 graduate（毕业生）组成的复合词，字面意思是"毕业后的"。 graduate 作为名词指"毕业生"，作为动词指"毕业"。 post-graduate program 指的是大学本科毕业后继续深造的教育项目，即"研究生项目"。