It's a beautiful city in August & September. The other 10 months it's drizzle and fog, followed by fog and drizzle. Hopefully the weather will clear enough to be able to see the mountains. Mt Baker is N, Mt Ranier S, and the Olympic chain to the W, Cascades on the E. Since it's still winter, don't go too far outside the city. The elevation changes are severe and you can get caught in some pretty nasty snow and ice as the elevations increase.
We lived there from '86 to '03 so nothing current to offer on restaurants. I do know they have McCormicks at 4th & Columbia downtown for excellent seafood. and also Anthony's Home Port, a local chain, also great seafood. If you like the Alaska dishes such as King Crab & Salmon, they will be good because they will be fresh!
Take a Ferry ride. One of the "short" routes say to Bainbridge Island. You can be a "walk-on" and it's a pleasant couple of hours looking at the scenery from Puget Sound. if you're at Pike Place, look to the West, down the hill, and you'll see the Ferry Terminal.
Boeing has tours but they're up at Everett, about 40 miles N. They should have a lot of 787's parked out front! If you want to buy one they're $200 Mil. without batteries! They also have a nice Museum just S of downtown, on E Marginal Way. Not a bad cab ride, but not a safe walk from downtown. The monorail runs from downtown to the "Seattle/city center": where the Space needle and the R&R museum are located. The Space needle also has a restaurant that revolves. It used to be OK, a little expensive, but the tourists love it!
Enjoy the "Left Coast!"