You can often get average monthly billing from the utility company on request.
My experience is that apartment units tend to have low utility rates anyhow, particularly in larger buildings where only 1 or 2 of 6 surfaces (walls, floor, ceiling) will have any outside exposure.
If you're not too particular about temperature, it's often possible to "coast" based on the heating/cooling of your neighbours rather than heating or cooling your own space. Temperate climates such as California further reduce need for interior climate control, though construction is also correspondingly less well weather-proofed (insulated, wrapped, weather-stripped) than in colder, hotter, or more humid climates.