Written out
Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.
The step pattern
GWAHB♭WCWDWEWF♯HG
What is true of it
G melodic minor is G, A, B♭, C, D, E and F♯, and back to G.
Its steps are W – H – W – W – W – W – H, where W is a whole step and H a half.
On the same tonic, G major differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 32 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
CmajorC7dominant seventhDmajorDaugaugmentedD7dominant seventhEdimdiminishedEm7♭5half-diminished seventhF♯dimdiminished
Found by testing every chord in the catalogue against these 7 sounds, not chosen.
Other scales on G
C mel minC♯ mel minD♭ mel minD mel minD♯ mel minE♭ mel minE mel minF mel minall 374