What is true of it
G♯dim7 is G♯, B, D and F — 1, b3, b5 and bb7 counted from G♯.
The easiest of the 1 fingering below is 1212: 3 fingers, one of them barring the 1st fret, held at the 1st fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
Where its notes are on the neck
The brass dots are G♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
G♯dim7/B
4545
G♯dim7/D
7878
G♯dim7/F
abab
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.