Pros
Boeing has official processes for EVERYTHING, so you will definitely gain a level of discipline by joining the company. They take ethics and diversity VERY seriously at lower levels (disregarded, famously, at higher levels), so you'll be on a level playing field with your peers.
Cons
You'll have a ridiculous amount of training to take - none of which will help to prepare you for skills needed in your role (annual training in laptop security, accepting bribes, etc - about 15-20 hours of online classes to take in these each year). Since Boeing uses primarily homegrown systems (when they do buy off-the-shelf, it gets customized to a level you wouldn't recognize), it can take a while to learn their systems. And, annoyingly, every division and department within those divisions use their own - so when you move to a new position, you're essentially starting from scratch again. Boeing is still very much a political, "yes-man" environment. While there are pockets where this is not the case - it's generally the norm throughout. As you have more exposure to higher levels, this becomes more evident. The company is not adapting to today's environment, and not embracing the skills brought in by today's younger employees. While most areas of the company are looking to change however they can, the higher levels in that organization are still be incented to keep things the way they are - as that's the environment they've excelled at and got them to their levels.