Create a calculation field with the following calculation Get(CurrentDate). Select type date, then Click Storage Option and click "Do not store - Recalculate as needed". Under the insert menu option click insert merge field and select your new date calculation field.
Under storage Options also select Use Global storage
I believe there is a shorthand for inserting Current Date much like there is for page number. I'm not at a computer now so I can't quote syntax. I'm sure if you search it in help you'll find what I'm saying.
Is there a way to just have the program fill in the current date on my summary layout?
Yes. While in Layout Mode, from menu: Insert >> Date Symbol