Rey's desire to find Luke has little or nothing to do with her own advancement as a Jedi. Her goal is simply to help the Rebellion. Later on, her goal seems to shift toward actively wanting to harm the First Order by denying them the map and bringing Luke back into the rebellion.
When Rey first meets Finn, she's deeply in love with the idea of the Rebel Alliance, having grown up in a community that's under the yoke of its own mini-dictator and living in the shadow of the Empire. She seems to have been raised on stories of the myths and legends of the Battle of Endor and Luke Skywalker and the noble activities of the Jedi Knights. When a couple of real rebels turns up on her doorstep and ask for her help, her immediate instinct is to follow them and help them, regardless of the fact that she's pledged herself to staying on the planet until her parents turn up.
“So you’re with the Resistance?” the young woman asked.
Finn glanced at the metal staff that could still club him unconscious. “Obviously,” he lied. “I’m with the Resistance…yes, I am.”
The young woman seemed to believe him. She swung her staff away from him to point at the droid. “Beebee-Ate says he’s on a secret mission. Says he needs to get back to the nearest Resistance base.”
Star Wars: The Force Awakens - Junior Novelisation
At the end of the film, her motive seems largely to shift to carrying out Leia's orders to get Luke to come out of his self-indulgent sulk and rejoin the fight against the First Order
So intent were they on the current conversation and its possible
ramifications that no one noticed that a light had come on atop a
small R2 unit shoved back among the rest of the equipment in the room.
Nor did they see that its hemispherical head had turned to look in
“We’re still at war with First Order,” Leia pointed out. “A war that
won’t end until either it or the Resistance is destroyed. The next
time, without Luke, we won’t stand a chance.”
Star Wars: The Force Awakens - Official Novelisation