Fastest way to apply light colour on a wallpaper
I cannot advise you strongly enough to not paint over the wallpaper. First reason is this is a rental unit. You are libel for any charges and costs to return it to the condition at the time you moved in. The second reason is that trying to remove wallpaper that has paint on it can be a nightmare. The way wallpaper is removed is by wetting the paper to disolve the paste. Since paint (even interior types) are almost impervious to water the stripper cannot reach the paste. The paper will come off in small pieces if at all and the surface will be rough and uneven. With the owners permission, remove the wallpaper to the base surface. It may be drywall or plaster then apply your primer and paint of choice.