Electric wall heater makeover- its kind of an eyesore...any ideas?

Most electric heaters cannot be safely covered with any combustible material. You could either paint it with high heat paint, or put a metal screen in front of it, but that may be a burn hazard.

Unless you bought your apartment, I would recommend Contact paper. You can go modern, country, camouflage or many other styles. Decorate around the heater with whatever seizes your fancy. If cost is an issue, head to Dollar Tree or Goodwill and get some things. Your heater becomes a focal point instead of an eyesore. Best wishes 😇

I cureently live in an apartment with one and the landlords painted it the same color as the walls which kind of-sort of makes it disappear.

There are some really clever ideas here! https://www.electricradiatorsdirect.co.uk/news/how-to-hide-an-electric-radiator/

Unless you can remove it when you move, you need to get permission from the landlord. You may loose your deposit for doing what you want to do.