Getting into the UW is pretty competitive. They just started the ABSN program this year, so the first cohort is going through it right now. I believe they had about 80 students apply and only 16 were accepted. One of my good friends is going through it right now. It's been around for awhile, but it's always been part of the GEPN track where people get their "BSN equivalent" after 15 months and then are expected to start an advanced practice training specialty shortly after.
The UW School of Nursing found that many people in the GEPN program would suddenly switch from their intended tracks or just stop school after 15 months and work as a bedside RN. So to compensate for this, they're putting the GEPN program on hold and adding more spots to the ABSN program. I heard they're going to select 80-some this year, but that's just a rumor.
I was going to apply for the first ABSN cohort last year, but I opted for the BSN because of the price. It's not that much longer in time and significantly cheaper. Even though it's considered an undergraduate program, they charge the graduate tuition, which amounts to a little over $40,000 for the five consecutive quarters. With the exception of 3 letters of recommendation, instead of the 1 required for the traditional BSN route, the application process is pretty much the same. I would browse the UW BSN thread in this forum and see what others have posted. You might get some insight on the proctored essay that you'll have to write if you make it to that application stage.
Good luck and welcome to Seattle! There are some great nursing schools
and teaching hospitals in the area.