Body shape will certainly change with a consistent program of weight lifting. The degree to which it changes and the precise way that it changes depends on a lot of factors -- body type, original condition, exercise program being done, age, diet.
But for women who have some body fat to lose, resistance training will typically lead to smaller overall girth.
A temporary increase in measurements in some areas is not uncommon, maybe especially in beginners.
But it's actually quite difficult for most women to "bulk up" via weight training alone. Most need a special diet as well as an individualized exercise program for this to happen.
What Marley says is true to a degree. Doing fewer reps with heavier weights tends to increase muscle size (if a diet is in place to support this and a proper program is followed.) Doing many reps with lighter weights tends to burn fat, which in turn reveals existing muscle.
But it's all relative. Even doing lots of reps with "lighter" weights will eventually build muscle -- when weights are progressed and nutrition is in place. And heavy lifting -- if done consistently enough -- will also boost metabolism and burn fat. And that results in smaller girth.