あげる means to give and describes an action where the giver provides something to a recipient who is not the speaker (e.g., I give to you, or A gives to B). The movement is outward from the speaker's perspective.
That is how Fuguro works. It brings あげる back for review right before you forget it, each time a little later, until it sticks for good. You hear it spoken aloud, and you meet it again in stories you can already read. The first five levels are free.