The discovery of the \gamma -ray pulsar PSR J1836+5925 , powering the formerly unidentified EGRET source 3EG J1835+5918 , was one of the early accomplishments of the Fermi Large Area Telescope ( LAT ) . Sitting 25 ^ { \circ } off the Galactic plane , PSR J1836+5925 is a 173 ms pulsar with a characteristic age of 1.8 million years , a spindown luminosity of 1.1 \times 10 ^ { 34 } erg s ^ { -1 } , and a large off-peak emission component , making it quite unusual among the known \gamma -ray pulsar population . We present an analysis of one year of LAT data , including an updated timing solution , detailed spectral results and a long-term light curve showing no indication of variability . No evidence for a surrounding pulsar wind nebula is seen and the spectral characteristics of the off-peak emission indicate it is likely magnetospheric . Analysis of recent XMM-Newton observations of the X-ray counterpart yields a detailed characterization of its spectrum , which , like Geminga , is consistent with that of a neutron star showing evidence for both magnetospheric and thermal emission .