Here are some beginning blues licks. They're great for blues and rock! It's best if you learn your blues scale in the key of E first. (Hint: it starts with your first finger on the 12th fret). Practice these licks one at a time on repeat. Once you learn them, you can play them in any order that you think sounds good and you can move them to any key just by moving your pattern along the fretboard. To make them sound bluesy, play your eighth notes with the shuffle feel.
This is easily the most common rhythm pattern in blues guitar. It's also very common in rock and pop music. Learn the keys of A and E first since they use open chords and are easiest to play. Afterwards, if you learn it in the key of G, you will then be able to play it in any other key just by moving your chord shapes along the fretboard. This can be played at any tempo, but I recommend starting with a slow blues feel . For a blues sound, use a bouncy shuffle feel. For more of a rock sound, use a straight eights feel.
Use this exercise to get extra practice reading on the A string.