Some short answers for your questions, but I can always go into more detail if needed.
1. Prior to March/April, it varied, dramatically. Everyone was hopping on the PSA train for personal reasons or to make a quick buck. PSA was so overloaded with submissions that they had to shut down their submission service until later this year. So, currently they are processing cards much faster. They do have a date schedule for where they were at with processing submissions overall somewhere on their site. Maybe you find it, but I'll try to post later.
2. Once the cards have been graded and you will receive an email which will provides details of your order along with the grades. You can also login to the site and go to your order to see details there. If you do not want to know them until the package arrives, then don't open the email or go to the site :)