What are these tiny, almost transparent, dots in my vision?
You are probably seeing floaters. 


  Floaters are deposits of various size, shape, consistency, refractive index, and motility within the eye's vitreous humour, which is normally transparent. At a young age, the vitreous is transparent, but as one ages, imperfections gradually develop




You might as well be seeing Scheerer's phenomenon 


  The blue field entoptic phenomenon or Scheerer's phenomenon [..] is the appearance of tiny bright dots (nicknamed blue-sky sprites) moving quickly along squiggly lines in the visual field, especially when looking into bright blue light such as the sky.




Please have a look at the wikipedia article for more information.

I only now realize that your question is a duplicate of Seeing strange things in light