If you only learn one scale this year, make it this one. The G minor pentatonic is the sound of countless rock riffs and blues solos, and it's usually the very first scale guitarists learn, for good reason. It has just five notes, it fits neatly under your fingers, and it's very hard to make it sound wrong. Let's get it into your hands right now.
"Pentatonic" simply means five notes (penta is Greek for five). In G minor pentatonic, those five notes are:
G, Bb, C, D, F
Then the pattern repeats: after F comes G again, just higher. That higher G is called an octave, which is the same note at a higher pitch.
Musicians describe scales with numbers that show how far each note sits from the starting note, called the root. Here the root is G. The formula is:
The little "b" (flat) means that note is one fret lower than it would be in a major scale. Don't worry about memorising the numbers yet. Just know that they describe the scale's shape, and that the same shape works from any root.
You might wonder why we write Bb and not A#. On the guitar they're the exact same fret, so you're not doing anything wrong if you think of it as A#. But in written music, a scale tries to use each letter only once in order. G's minor 3rd needs to be some kind of B, so it's called Bb. It's just tidy bookkeeping, and it makes reading chord charts in this key easier later.
Two terms first. A half step is the distance of one fret. A whole step is two frets. The step pattern for minor pentatonic is:
W+H - W - W - W+H - W
So "W+H" means a whole step plus a half step: three frets. Try it on a single string, starting from G:
Playing it along one string is a great way to see the gaps. Those three-fret jumps are what give pentatonic its open, spacious feel.
The minor pentatonic comes from a bigger, seven-note scale: the G natural minor scale, which is G, A, Bb, C, D, Eb, F. Take out the 2nd (A) and the 6th (Eb), and you're left with G minor pentatonic.
Those two missing notes are the ones most likely to clash with chords if you land on them at the wrong moment. Remove them and what's left is strong, safe and bluesy. That's why beginners can improvise with it almost immediately.
The note to listen for is Bb, the minor 3rd. It's what makes the scale sound minor: darker, moodier, a bit tough. Play G, then Bb, and let them ring. That slightly sad, gritty colour is the heart of the scale. The F (the minor 7th) adds the bluesy edge; sliding or bending up into F and then resolving to G is a classic move.
The Bb major pentatonic scale uses exactly the same five notes. The difference is which note feels like home. Over a G minor groove, everything leans toward G. Over a Bb major groove, the same notes lean toward Bb and sound brighter. Same paint, different picture.
The simplest chord to solo over is G minor (Gm), made of G, Bb and D. All three of those notes are in the scale, so it's a perfect fit. Even just a looped Gm chord or a G bass note is enough to practise over.
When you want movement, try this classic minor blues-rock progression, built from the G natural minor scale:
Gm - Cm - Gm - Dm
Give each chord one or two bars. G minor pentatonic works over all of it. Listen for how resting on G sounds settled, and how landing on D over the Dm chord sounds strong too. You can also try Bb major, which is built from Bb, D and F, all notes you already have.
In standard tuning, your G roots are easy to grab:
The most famous shape starts with your first finger on the 3rd fret of the low E string. Play these frets, low string to high:
Use your first finger for the 3rd fret, and your third or fourth finger for the 5th and 6th frets. Move the whole shape up twelve frets so your first finger sits at fret 15, and you get the same scale an octave higher.
Spend five minutes a day on this. Play the shape slowly up and down, saying the note names out loud. Then loop a Gm chord, or the progression above, and improvise using only three or four notes at first. Always try to finish your phrases on G and notice how it feels like coming home. Keep it simple, keep it musical, and within a week this shape will feel like an old friend.
For the bigger picture, read The Minor Pentatonic Scale.