Close to the hotel, we have heard great things about the farmers market! It is open 10am - 3pm on Thursday - Sunday and has farm vendors, artisan foods, and craft vendors and many restaurants nearby.
If you are making this into a vacation and will be in town for a few days, we highly recommend one of the national parks Washington has to offer. The Olympic National Park is about 1.5 hours away from the hotel and has many trails and hikes for all levels. I recommend clicking on the link and exploring their website prior to heading out.
Only located 20 minutes from the airport, this is a great place to go if you want some nature but don't have time to explore of the national parks.
Less than 2 miles from the hotel, this park is a great place to walk through gorgeous tress and greenery or by the water.
More parks... Tolmie State Parks has more than 3 miles of hiking and access to a beach. Strongly recommend checking this place out if you like getting your feet wet (I would also recommend looking into this place beforehand).
There are so many things to do we can't list them all. So here is a website that you can explore if you find yourself in need of something to do.
For those who are making a trip out of this and want to explore the city of Seattle as well, here is a great website that gives some ideas. Some of our favorite things in Seattle are the Aquarium, MoPOP, Pike Place Market, and Bill Speidel's Underground Tour in Pioneer Square. We are also hoping to visit Woodinville Wine Country soon (about 30 min outside Seattle), but have heard great things!