The Giants selected Greene with pick 11 in the 2011 draft and he quickly proved his worth, collecting more disposals than any 18-year-old in the history of the game in his debut season.
Greene was runner-up to Callan Ward in the inaugural Kevin Sheedy Medal for GWS's best and fairest player and the midfielder thinks he can get stronger, fitter and faster in 2013.
"Everything we're doing at the moment is helping with that, with a lot of weights and long distance running," Greene told AFL.com.au.
"I did a little bit before we came back and once we came back I've been able to do all the running with the group."
Greene was ineligible to win the AFL's Rising Star award after being suspended for one match for engaging in rough conduct with Brisbane’s Jed Adcock in Round 8, but many believe he could have won the award comfortably.
He impressed on his return to Sydney for pre-season training by winning the club's opening 3km time trial.
Greene averaged 28.4 disposals per game and finished last season ranked eighth for disposals in the competition and admits his second pre-season is by far tougher than his first.
"It's been a hard pre-season, but really effective, and it's been good to see some results," he said.
"We're doing a lot more running than last pre-season."
High draft picks Jonathon Patton, Stephen Coniglio and Dom Tyson came into the Giants inaugural season with the greatest expectations, but Greene slid under the radar and out-performed all his first year teammates.
"I just wanted to play 10 games at the start of the year," he said.
"I was ecstatic to play more than that and it just went from there.
"I didn't really know what to expect coming into it.
"I was lucky I didn't get any injuries and hopefully I can stay that way.
"It was just a massive learning experience. I took every game as a new game and just kept learning.
"Hopefully I can put some of that into being more consistent this year."
GWS won just two games in 2012 and finished at the foot of the AFL ladder and Greene sees progress on the horizon for himself and his Giants teammates.
"Hopefully we can get a couple more wins this year and everyone continues to improve," he said.
"We haven't really talked about targets, but just the talk among the boys is we'd like to get a couple more (wins).
"I think that's definitely possible the way we're going at the moment, but we'll see how we go in the NAB Cup and take it from there."