Grant: a sum of money that is given by the government or by another organization to be used for a particular purpose （政府、机构的）拨款
student grants(= to pay for their education)
学生助学金
He has been awarded a research grant.
他得到一笔研究经费。
Apply: to make a formal request, usually in writing, for sth such as a job, a place , at college, university, etc. （通常以书面形式）申请，请求 ~ (to sb/sth) (for sth)
to apply for a job/passport/grant
申请工作／护照／拨款 V
to apply to a company/university
向公司／大学申请
You should apply in person/by letter.
你应该当面／写信申请。
He has applied to join the army.
他已报名参军。
