Yes it's the present participle of organize.
It can be. It is the past participle of the verb (to organize) and is used as an adjective, and so it the present participle, organizing. e.g. An organized effort was made to block the law's enforcement.
Organizing can be a gerund as in: Organizing my closet is my favorite thing to do. Or it can be a progressive verb as in : I am organizing my closet.To make present perfect use - have/has + past participle.The past participle of organize is organized.I have organized lunch for 12:30 in the conference room.She has organized the office staff very well.
Getting is the present participle of get.
The present participle is doing.
Being is the present participle. The past participle is been.
Presenting is the present participle of present.
Presenting is the present participle of present.
The present participle is choosing.
The present participle is walking.
The present participle is cleaning.
The present participle is leading.
The present participle of "understand" is "understanding."