Pros
Boeing provides plenty of opportunities to learn about various subjects pertinent to your degree and background as well as subjects outside of your comfort zone. Plenty of resources and a large network of employees to learn from and also mentor. You may receive decent compensation relative to market and your peers when you first hire on. Stock price and stock fund is currently rocking! Boeing is rich enough now to hold the lions share of the commercial aerospace market which can be leveraged to dominate the defense business of the house.
Cons
Basically, Boeing is "government junior". Boeing is weighed down by bureaucracy and is way too process heavy. Because of the inefficient promotion processes, Boeing will not correct your pay when you are underpaid. You basically have to threaten to quit and show them you have other higher paying options for them to even consider a raise and promotion. It's guaranteed HR and management will throw the "market" or "business case" argument at you because their hands are tied to corporate processes. It gives them an excuse to not care about you in other words. Also, there are many employees there who hardly do any work and get to ride on the coat-tails of the hardworking people, inherently a consequence of poor processes for firing people or at least holding people accountable. If you're a believer in working hard with merit rewards, you might want to stay clear.