I don't think her parents paid their way in for her to get to Oxford. I do, however, think that Oxford is built for people like Grace. She went to private school, she has well respected parents, she has the extra curricular activities that cost thousands of pounds. There are plenty of people at Oxford who aren't actually *that* bright, but get in because they're taught by their private school teachers (who also went to Oxford) how to get in.
What's telling about Grace's privilege is that she doesn't realise how unbelievably lucky she is to have gotten into Oxford with those grades. She doesn't address this at all in her YouTube video, and the top comments all reflect her lack of acknowledgment. Grace will always believe she's worked hard for what she had - and sure, I'm sure she does work hard. But what's frustrating is her lack of acknowledgment that her work will always be viewed as worth more than her less privileged peers, because ultimately she has been born into a lifestyle and class status that paves the way for people like her be successful, regardless of their intelligence.