I don’t understand the “that she meant what I think she did” part:
I really hope… that she meant what I think she did.
Can it be paraphrased to clarify this?
Here is the fuller context:
My heart was beating so fast. I rolled over, I felt so… I don’t know, nervous? After a minute she put her arm around me, and was so close, and whispered in my ear, “I really like you.” I just nodded my head and I really hope she could tell. I really hope… that she meant what I think she did.
It sounds to me like the narrator is falling in love. He is full of hope.
I’d paraphrase it like this:
I like her. I like her a lot. I think she just confessed that she likes me, too. I hope I’m not misinterpreting her remarks; I hope she really does like me.
In the sentence, “…what I think she did” refers to “…what I think she meant.” So, he is saying, “I hope she means what I think she means.” In other words, “I hope I’m not making faulty assumptions about what she is saying.”