Verilog HDL is used to model digital circuits at different levels of abstraction. There are several modeling styles in Verilog including structural, dataflow, behavioral, and mixed modeling. Structural modeling connects instances of modules through nets, dataflow uses continuous assignments, and behavioral describes algorithms without hardware details. Modules have interfaces with input, output, and inout ports that connect to external signals. Simulation verifies designs operate as required and uses the `timescale directive to specify time units for delays.