Pros
Early in your career, Boeing's benefits are second to none. The education / tuition assistance program is amazing- when i worked at Boeing, 100% of tuition and fees was paid for up front by the company - no maximum limit! they also pay for up to $150 per course for books. Boeing has a wide range of projects to work on as well as jobs. Lots of opportunities to see the country and live/work in many different locations.
Cons
Typical downsides for a big corporation. Mainly- there is lots of red tape and bureaucracy. This goes along the lines of big corporation /defense contracts. Also, Boeing is a "systems integrator," meaning they farm much of the technical work out to subcontractor/suppliers. the paperwork and "excel engineering" can be maddening at times.