The kinetics of formation and the structure of an adsorbed layer formed by homopolymer chains irreversibly adsorbed onto a flat wall are studied by Monto Carlo simulation using the bond fluctuation model. The rapid initial adsorption is followed by slow kinetics at later times. The surface coverage can be described by an empirical law of stretched exponential approach to the final value. The formation time constant tau can be interpreted by scaling theories of diffusion inside a dense pseudo-brush. The detailed structure of the layer in a good solvent saturated by the adsorbed chains is also measured. The extension of the layer and the distributions of the loops and tails are also analyzed in light of recent scaling theories.