Dear Omer !
Green Spot is closed but it is worth a try with your department card... If you like exploring the area then following are few options:-
Before Governor House there is a road that inclines down hill called Nathia Gali-Miranjani Rd. This road is heading towards Namli Maira and Bakote--choose the Namli Maira Track and further choose Miranjani Nathia Gali Rd and drive along the Miranjani Trek all the way till the rd allows...it is a very very peaceful drive and beautiful serenity. At the end of this road you may park and do a short quick hour trek to Miranjani Peak. The actual trek takes more time.
If you like driving in the area you may also drive towards the Haro area, past the Kalabagh Adventure Club down to Haro.