Yes and no respectively
The blue bosch tools are from the professional line. The green ones are the "hobby"/homeowner ones. Batteries and chargers are not directly compatible between the two lines, Which is a dick move in my opnion. But the "green" batteries are compatible with products from Gardena and some other garden equipment manufacturers.
Blue bosch tools are very good quality but generally too expensive compared to their competitors, in my opinion. The green ones are alright but you could just as well buy some Einhell or Metabo tools then. They are alright as well and a bit cheaper from my experience.