The Bohr-Rutherford model of a hydrogen atom is a diagram showing one electron orbiting a hydrogen nucleus, which has one proton and zero neutrons. Many sites have such a diagram, but Wikipedia provides the diagram as well as a discussion describing this model's development.
The key characteristics of the Bohr-Rutherford model are that only certain orbits (called "stable orbits") are assumed by electrons. Each orbit (E1, E2, etc.) has an energy level associated with it; light is emitted when going to a higher orbit (further from the nucleus) and absorbed when retreating (closer to the nucleus). Further, the total energy emitted and absorbed can be calculated using Planck's constant.