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1. Light can either go through the air next to the glass, or the glass next to the air. There's no such thing as a boundary that can be travelled through. So I guess if you do it very accruately, the answer depends on where you enter the glass from air.
2. Yes. A very weak one. You don't see it, however, because it coincides with light beam that is travelling towards the glass block.
3. Whenever something is going normal to the surface, then it won't have any refraction. Refraction occurs only when the incident ray is at an angle to the surface. However, there will be a (weak, very weak) refracted ray.
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