Big Bang's leader enlisted on the 27th to the 3rd Infantry Division ('White Skull') Recruit Training Center, located in Gangwon-do. As stated, he did not have a special event at his enlistment - he just briefly greeted the fans who'd come to say goodbye before heading off into the training center.
G-Dragon will be training at the center for 5 weeks. He will be back from the army on November 26th, 2019.
See you then, G-Dragon, and good luck with your enlistment.