The missing mass spectroscopy of the He-7(Lambda) hypernucleus was performed using the Li-7(e, e' K+)(Lambda)He-7 reaction at the Thomas Jefferson National Accelerator Facility Hall C. The Lambda-binding energy of the ground-state (1/2(+)) was determined with a smaller error than that of the previous measurement, being B-Lambda = 5.55 +/- 0.10(stat.) +/- 0.11(sys.) MeV. The experiment also provided new insight into charge symmetry breaking in p-shell hypernuclear systems. Finally, a peak at B Lambda = 3.65 +/- 0.20(stat.) +/- 0.11(sys.) MeV was observed and assigned as a mixture of 3/2(+) and 5/2(+) states, confirming the "gluelike" behavior of Lambda, which makes an unstable state in He-6 stable against neutron emission.