When young people need glasses it’s generally because of the shape of the eye. This affects the focal distance for both nearfield and distance vision equally and glasses can easily correct for this.
When you get old and need reading glasses its different. The reason is that the lenses of the eye loses flexibility* with age so the eye can’t adjust its focus for different distances. It loses the ability to adjust for nearfield vision first. The speed at which your eye refocuses can also be affected.
If the eyes own lens can’t adjust properly then different distances need different correction. Hence varifocals and bifocal exist.
New glasses may not help with your tree problem.
* I am not an ophthalmologist.