Many objects aren't that affected by minor light pollution from a small city. Planets, the Moon, even moons of some planets aren't that affected. Nebulae, on the other hand, are harder to see. You might want to buy a filter to help you, especially if the city uses sodium or other narrow band lighting, which are lower cost to the city.
The bigger challenge is if you do astrophotography because the longer exposures will be greatly affected by the pollution.
One interesting side note.... The brightness of a celestial object increases due to pollution. This is because the pollution light that is scattered in the sky is added to the light of the object. Unfortunately, one's ability to see is based more on contrast for dim objects. But it's still interesting.