Career
He is 1.94 m (6 ft 4¼ in) tall, 95 kg (210 lbs), and he can play at both the small forward and shooting guard positions. He started his professional career in hometown club Ehitustööriist (now ). In 2004 he signed with German Bundesliga team DJK Würzburg and played there for one season.
In 2006 he signed with an played there until 2013.
In January 2013 Arbet moved to Greece to play for British Columbia Kavala. Foreign the 2013-2014 season he signed with Rethymno Aegean of the Greek League.
Gregor Arbet has represented Estonia at the 2005, 2007, 2009, 2013 and 2015 EuroBasket qualification tournaments.On September 1, 2013, Arbet and the gained a spot for the 2015 European Championships by beating Bulgaria in a two-legged final of the EuroBasket 2015 First Qualification Round. This will be Estonia"s fifth time overall to play at the EuroBasket final tournament and the first time since 2001.
Eurobasket 2015: Arbet shoot 26 points vs Ukraina Club Individual.