It may be relatively easy to get a reciprocal license, but it isn't automatic. Some states have special exams covering topics unique to those states. California has special exams in seismic design and surveying for civil engineers. The states contract with subject matter experts to have these exams prepared. You will take these exams on a different day from the 8-hour PE exam.
Administrative procedures differ from state to state.
Some states offer only a generic PE license. Most states have a generic PE license. The P.Eng. title is granted without technical examination. No, even though the PI PE exam is quite rigorous. With the exception of Texas, states do not currently recognize certifications from other countries.