Results from a rhinoplasty are intended to look very natural and allow for more synchronized facial balance. Close friends and family members who are used to your appearance will notice changes once your nose has healed, but the effect is natural.
New people you meet will not be able to tell you have had a rhinoplasty unless you tell them. Scars from a rhinoplasty are well hidden and fade within a few months, so only someone knowledgeable about the procedure would know what to look for.