Congratulations on having undergone the breast augmentation/lifting procedure. Keep in mind that no one will replace your own plastic surgeon when it comes to accurate assessment, advice, and meaningful reassurance.
Generally speaking, breast implants will "drop" into the pocket that was created during surgery. The rate of breast implant "settling" may depend on factors such as size of breast implant pocket dissected, tightness of the overlying skin/muscle layers, and size of breast implant utilized. Normally, it takes about 3-6 months (for some patients longer) to see the final result. It is very common for one side to settle faster than the other.
Similarly, it takes a few months for the breasts to "soften" in most cases. Most of my patients tell me that their breast implants feel "part of them" somewhere between 3 to 6 months after surgery was performed.
There is definitely a physiologic and "psychological" (body image) adaptation process that occurs, at differing rates for every patient, for patients who undergo any type of aesthetic surgery, including breast augmentation/lifting surgery.