Question

what is your weight in newtons if your potential energy is equal to 1000 joules and your mass is 60 kg

Answer 1

Your potential energy and mass don't tell what your weight is.

If I walk up from the first floor to the second floor, my weight hasn't
changed even though my potential energy has increased.

Answer 2

Weight force is equal to mass times the acceleration of gravity. Since we're close on earth gravity is about 9.8 m/s^2. Multiply 9.8 by 60 and you will get 588 N. The potential emergy doesn't really matter here (unless you were on a different planet with different acceleration of gravity and given a height about the ground).