Because the G7 chord contains four notes, there are three inversions plus the root position. The following three diagrams illustrate the first inversion (3 5 b7 1), the second inversion (5 b7 1 3), and the third inversion (b7 1 3 5) of the G7 chord.
This example uses all the inversions of the G7 chord. Use the correct fingerings as shown in the diagrams.
Seventh chords are particularly common in Blues, Boogie and Rock piano playing. The following example demonstrates a 1st inversion G7 chord played over the left hand pattern you have been using, this time played as straight eighth notes.