Here's a lick that outlines the G7 sound, with some passing tones (non-diatonic notes) to spice up the mixolydian scale.
The lick is built around the G Mixolydian scale and I use the D-7 arpeggio (first bar), D-arpeggio (second bar) and finally the F7M arpeggio (last bar).
The passing tones I use are some classic jazz articulation.
Use the neck pickup and cut the high freqs with the tone knob if necessary.
I use the Mesa Boogie V-Twin preamp on the clean channel connected directly to the sound card and I'm adding a little bit of reverb and compression in Pro Tools.