G: the strict answer to you question is yes, but your question was framed as "to start the process". 7500 for a week is definitely a very good start. Whether it will completely prepare you for another Whitney attempt will depend on a lot of factors, especially your apparent susceptibility to AMS. ALso key is how much time you spend at what altitude. For instance. If you are at 7500 for most of the time, and there is a lapse of a day or two between your 11000 foot time and your start up Whitney, then that 11000 foot time isn't going to do you much good. If you start out at 7500, work your way to 11000, and go right from there to Whitney Portal the same day, then you will be much better prepared.
If after coming away from June Lake you can spend one night at Horseshoe Meadows (10k+) before hitting the trail, that would set you up even better than if you come from June Lake at 7500 and hit the trail at WP (8500) the same day.
Oh, and these are estimates: your mileage will vary.
