You have mixed your tenses here, so do you want it to be in the past or the present tense? If you want it to be in the present it should read... She'd like to have a boyfriend who is good at physics, or who at least has good diction, so that he could read aloud to her from science books before going to bed. Past tense...She would have liked to have had a boyfriend who was good at physics, or who at least had good diction, so that he could have read aloud to her from science books before she went to bed.

I agree with Jan except I don't think you need "aloud." If you're reading a book to someone, it's implied that it's out loud.

It's pretty close. One tiny thing, put a space after commas, not before them. And I'd change the order of some words just to help with clarity. She'd like to have a boyfriend who was good at physics, or at least had good diction, so that he could read aloud to her from science books before they went to bed