No, the Dragonborn does not absorb Alduin.
The Dragonborn defeats Alduin in the final battle of The Elder Scrolls V: Skyrim. The Dragonborn uses the power of the Dragon Soul and the Voice to banish Alduin into the void, preventing the end of the world.
The Dragonborn does not absorb Alduin's power, but instead utilizes the power of the Dragon Soul to defeat him. This is a significant difference in the narrative of Skyrim. The Dragonborn is not meant to be a god-like figure, but rather a powerful warrior who uses their abilities to protect the world.