New player here needs help

[Niwashi]

Lets say if I level a new job will I be able to gain extra stat points to add also?

Each class gets its own set of bonus stat points to allocate. So, for example, you could put all your Pugilist points into Strength and then if you decide to add Conjurer you could put all your Conjurer stat points in Mind. But just as each class gets its own set of points to allocate, each class gets only the benefit of its own points.

Jobs, on the other hand, don't get separate stat points. They use the points from the job's primary class. So, once you can unlock Monk, it will use your Pugilist stat points, since Monk is a specialized sort of Pugilist.