Yes, it is normal. It has something to do with the physiological structure of human beings. When you look at the sky, the lacrimal gland is stimulated by the external world, so your eyes get watering. I advise you to read some materials about the structure of human beings. Also, it can be indicative that you are tired and you overuse your eyes, a good rest can be fine. Or perhaps the sunshine is too bright so that your eyes water.
It is not normal for your eyes to get watery when you look at the sky. Your eyes may get infection because of invisible bacterium. You could use some eye drops with anti-inflammation to make your eyes get comfortable and get moisture. You could also do the warm compress to make your eyes get comfortable. You need to protect your eyes carefully.