>>29899180yes it does. you're given it right after Trainer School shenanigans.
The EXP system is a combination of Gen 5 and Gen 6. Like Gen 5, the lower level your pokemon is against a higher level, the bigger bonus and vice versa, but pokemon still have a base EXP yield, but it keeps Gen 6's in that every Pokemon that participates in battle receives the full amount of exp, instead of split in half or a third and so on in gen's 1-5