Either clef sign may be employed for either staff. The bass clef is generally used for the lower staff and the treble clef for the upper one because the left hand's notes typically fall below Middle C and the right hand's notes typically are above Middle C. But that's not always the case.
If both hands are playing in the upper register of the keyboard, for example, it's likely that both staves will be notated using the treble clef (and, conversely, the bass clef will probably be used for both staves if the notes for both hands are at the lower register of the keyboard).
Because a clef sign applies to all notes that follow it, those notes in your example that are preceded by the treble clef sign are played exactly as they are written (i.e., G F C F A F) and in the octave in which they are written (i.e., beginning just below Middle C and ascending to the octave above). When you come to the bass clef sign again, revert back to playing the notes as written for bass clef.
Short answer: play them as written.
Topic: Treble clef and bass clef in one staff?