A new scientific frontier opened in 2009 with the start of operations of the world's first X-ray free-electron laser (FEL), the Linac Coherent Light Source (LCLS), at SLAC National Accelerator Laboratory. LCLS provides femtosecond pulses of X-rays (270 eV to 11.2 keV) with very high peak brightness to access new domains of ultrafast X-ray science. This article presents the fundamental FEL physics and outlines the LCLS source characteristics, along with the experimental challenges, strategies, and instrumentation that accompany this novel type of X-ray source. The main part of the article reviews the scientific achievements since the inception of LCLS in the five primary areas it serves: atomic, molecular and optical physics, condensed matter physics, matter in extreme conditions, chemistry and soft matter, and biology.