Laem Chabang is Thailand's busiest commercial port. There is not much for tourists to see or do in the immediate area. Bangkok is the main attraction, but it is at least two hours away by car. Pattaya, a popular beach resort, is an hour away from the port.
Most cruise ships will offer a transfer package to Bangkok and/or Pattaya, but for those that don't, you can hire a metered taxi or arrange for a private car in advance.