She's 'fond of' asking silly questions. [=she asks a lot of silly questions]
She has 'fond' [='cherished, warm'] memories of their time together.
She is still 'fond of' him. [=she still likes/loves him]
(..) Do give Lord Tyrion my best when you see him. I was sorry when he died. Your father and I had our differences, but he loved Cat very much. So did I. She wasn't fond of you, was she? Well, it appears she vastly underestimated you. Your father and brothers are gone, yet here you stand, Last best hope (..)2017 TvShow: Game of Thrones Title: Stormborn Season: 7 Episode 2