There's a little backstory here.
This picture shows how the electrical current actually flows in Silicon material. So current obviously flows from the negative pole of voltage source to the positive.
Conventionally, the direction of current is from positive pole to the negative pole, though the actual direction of electrons is from negative to positive as in the image.
What about holes? Are they moving in reverse direction? Are they even moving in any direction?
The term 'holes' is used in this circuit just because silicon is a semiconductor, which means it can have characteristics of both conductors and insulators. Holes are a term given to absence of electrons. The holes do not move by themselves. But, yes, holes appear to be moving in the opposite direction to electrons, when the electrons in the semiconductor device move from one vacancy to the another.
Hence, here you can say the direction of the current is the direction of the holes!
Do electrons moving from negative to positive pole fill up the holes to move forward?
Yes. With a sufficient amount of kinetic energy (applied voltage), the valence electron of one atom moves out and occupies the hole in its adjacent atom; consequently creating a hole in the atom which the valence electron left. This goes on and appears as if the holes are moving.
This sounds peculiar at the beginning, but as you proceed to learning pn-junctions and diodes, you'll gain a better insight.
Let me know if I cleared you.