Submitting June/July is very good and will definitely take much less time than 5 weeks. I submitted Oct. 31 last year and it took PharmCAS all of 5 weeks to calculate my gpa and some more time on top of that to finally mail out my stuff. It was very painful, the wait, so apply early!!
I e-submitted 6/14, and they verified and calculated my GPA 6/15. Definitely advantageous to submit earlier before the rush hits in late summer, so that your app won't be stuck sitting for weeks in the queue before it can get verified and mailed out.