You'll certainly notice the difference the "empty seat" makes, not only by the difference in response to power and a slight change in pitch attitude, but you should also notice a slight difference in lateral attitude as well due to the c of g change.
Above all, treat the flight just the same as any other flight with the instructor on board. i.e. Don't let it go to your head until
after you have landed. Then you can really enjoy yourself!!
Good luck
PS: You'll also notice your instructor becomes very responsive to an invite to join you at the nearest bar for a drink.