You got it.
Here is the harmonized "G" major scale or its relative minor "E" minor:
G major
A minor
B minor
C major
D major
E minor
F# diminished
Use the "G" major scale or the "E" minor scale for your soloing;
the "G major pentatonic" and the "E minor pentatonic" can be used too.
In this case the key is "G major" or "E minor"
Note how both scales have the same Sharp note ( F#)
(G-A-B-C-D-E-F#-G) (E-F#-G-A-B-C-D-E)
Again, the key is given by the number of Sharps and Flats, in the present example we have one sharp (F#).

When you play a "B minor chord" you are using the "F#" as part of the chord.
You should not play a "B major Chord" (B,D#,F#) becouse "D#" is not part of the "G major scale".
The "F#minor chord" uses (F#,A,C#) and "C#" is not part of the scale.
The correct chord is "F# diminished" wich uses (F#,A,C) and the "C" note is part of the G major scale.
Just so you know, I use " " and ( ) to group musical notes and avoid confusion, with the letters from words.