"like any Skywalker before him" I didn't know mom was so talented.
A year, lol. That's like someone saying I'm going to go train for a year and then win an MMA championship. I think it might have been longer than a year.
Total of Luke's training was 3 years, beginning in ANH and finishing in ROTJ. In that time frame he pretty much surpassed any jedi before in become a jedi knight, moreso impressive he did it with little resources. It took over a decade for a jedi to become a knight(typically), Luke did it in 3 years flat.
Edit: When I mean 3 years, I am counting his training with Obi-Wan, his training with Yoda, and then whatever else he did between ESB/ROTJ.