ExxonMobil is a great place to kickstart your career because it is such a widely know and impressive company. XOM is known to have the best employees, therefore other companies are aware of the capabilities of those with ExxonMobil on their resume.
ExxonMobil is an excellent place to have either a technical or manager career. At many companies most engineer careers are required to progress into management. ExxonMobil explicitly allows one to develop as a technical expert for his entire career. A reason why ExxonMobil may not be a good fit is the heavy emphasis on developing and following procedures. This is for good reason though, since there is a long history of oil industry disasters due to seemly small deviations from procedure.
ExxonMobil is a fantastic company and would be a great place to kickstart a career, in my opinion. The company is made from fantastic people and provides excellent benefits. The work is meaningful, challenging, and opportunities to adapt and learn new things in new areas of the company throughout a career are near endless.