His target is definitely to make a big contribution to Real Madrid, one of which is by defending the La Liga and Champions League titles. Maybe the Champions League will be Mbappe's main target, because one of the things he wants is the Champions League title, which he never got while at Paris Saint Germain.
Real Madrid did not give up on getting Mbappe, after their failure in the previous few seasons because Mbappe preferred to stay at Paris Saint Germain, this season they really succeeded in getting the signature of this young player. This completes their squad, especially in the front line which we know they really need, because in the front line there are gaps that have not been completely filled.
Of course, Mbappe will want to become the champion of La Liga, this is what he came for, he got bored in Ligue 1 and while he is at the peak of his career, he will definitely want to win as many trophies as possible. But if he stays in Real long enough, then he will have many opportunities to win La Liga and I think the Champions League as well, and although the second is much more difficult to do, it seems that Real is the team that has the greatest chance of doing this, given their 15 wins in this tournament.
I think the biggest desire is not about the La Liga title because if it is only the La Liga title then it is the same as the Ligue 1 title which is domestic title, the most important thing is the UCL because this is title all players want.
Just mastering domestic competitions will not give truly proud satisfaction because not only great players but ordinary players also have the opportunity to win domestic title, after all, every player will really feel like they have achieved perfect achievement when they are able to win the UCL.
In the future, as long as Barcelona continues to be in an unstable condition and still has several problems in their squad, the opportunity to defend the La Liga title could be very easy for Real Madrid so we don't need to worry about this.
But for the UCL there could be big surprises carried out by several other team and this is why Real Madrid still has to be able to focus on the UCL, even though they have very strong squad and with the addition of Mbappe they still have to be careful.
Moreover, I sure that team like Manchester City will also try to win back the UCL title, and they will try to avenge their failure to enter the final because they were defeated by Real Madrid in the quarter-finals.