In the US, "Truck" may refer a 'pickup' truck, used by individuals to carry small loads of tools, equipment, or materials. But the equivalent to a lorry would be a "Semi truck", used for carrying large loads of cargo or shipments of goods. Semi trucks usually have just enough space for a driver and one or two passengers in the cabin. Long-haul semis often have space for a bed, a WC, and sometimes even a small kitchen.
In the UK, I assume that lorries have the steering, brakes, and meters on the right-hand side of the cabin. Apart from that, I don't think they differ very greatly from US semi trucks.