A magnifying glass is a converging lens - it tends to make light rays converge.
In particular, parallel rays will converge to a point - called the "focus".
Light scattered from something, passing through the lens, will converge to an image - so the light will appear to the eye as if it were coming from the image location.
The process of "focussing" often refers to obtaining a sharp image.
When the image is "out of focus" it is blurry.
Eye-glasses - to correct long-sightedness - work the same way.
You can test this very easily if you know someone who is long-sighted.
When you wear glasses, your eye is well inside the focal length - you'll notice you have to get an ant pretty well in the focus to burn it.
Light-rays scattered through the lens from a nearby object are diverging quite a bit more than the eyes can handle - the lens makes them diverge less (by converging them) and so makes objects closer than the eye's near-point appear close to the near point.
The opposite is needed to correct hear-sightedness, so a near-sighted persons glasses are diverging lenses rather than magnifying glasses. They work like solid glass bi-concave lenses in air.