The moon will be about 14% larger in the night sky on June 22 as it approaches the full moon state at 4:32am June 23. This is sometime referred to as a Super Moon. This is the closest it will be to the earth for the year 2013.
While many people believe the "supermoon" which is the closest and fullest, full moon of the year is also on the same day as the solstice, June 20, actually it happens here at 4:32am June 23. However if you'd prefer not to be up that late (or early) the best time to view it is the evening of the June 22. The Super Moon presents the moon’s closest encounter with Earth for all of 2013. The moon will not be this close again until August, 2014. It will be approximately 14% bigger in the night sky.
This is referred to as a "perigee full moon" meaning the moon’s closest point to Earth for a given month.
Here's the Super Moon's Track through West Seattle. The lighter blue line from lower right to the Junction, that then switches to orange is the path.