After the carpet is removed you will need to sand the floors to remove the old finish. It is very labor intensive to refinish floors. You should watch youtube videos before you undertake. Other people have said you should not be doing this in a rental. Beside the fact that you are improving the owners property without compensation, you will be liable for any damage. If your management company wont bring the property up to livable condition you need to go through your city’s rent board or other tenant advocate group. If you’re dead set on this course of action at the very least you need to get permission in writing from the management.