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]
(..) Let's eat. Shall we? Yes! Oh, it looks delicious. So Noah, you and Allie have been spending a lot of time together. You must be very fond of each other. It's getting pretty serious, huh? Yes, ma'am. Well, summer's almost gone. (..)2004 The Notebook