Pros
Boeing offers it's employees great benefits if you take advantage of them, especially for early career engineers. You can expect about 2 weeks vacation and 2 weeks sick days every year right after you start, and you get bumped more vacation the longer you stick around. They will also pay for your tuition to earn extra degrees related to your job if you continue working full time while you do it. Hours are flexible, and for the most part the work is very low stress.
Cons
When you combine working for a mega corporation with contracting for the government, you will end up with a lot of bureaucracy and red tape to do anything outside of your day to day responsibilities. For example, when I've needed to buy small catalogue orders of equipment for my lab, I needed to contact 5-6 people inside and outside of the company, and it's taken anywhere from a week to 4 months to get standard equipment delivered, or the process breaks down somewhere along the line and you have to start over. How good your day to day job is will vary hugely on what group you are in. Most technical groups in Boeing are focused on integrating products from suppliers into larger platforms, as well as verifying and testing those products by some procedure. This means that the supplier gets to do all of the creative and fun work, and you get to follow a pre-dictated procedure step by step until you move to a new job. There are not a ton of positions where your work will challenge your creativity or technical skills, especially if you are an early career engineer. Also, after you've been working here for a while, the movie "Office Space" will no longer be funny.