Here is a little more definition to elaborate upon what Bassfisher6522 is stating.
When you connect to a network. You are always connecting to two networks simultaneously. Which are an intranet and an internet. When your message popped up and said you had Limited Access that means you have access to the internal (intranet) network of the hotel but not the external portion of the network (internet). The external portion is what you want to explore and surf websites, check email, and to search for whatever on Google, etc.
The intranet allows access for (but not always necessarily because they could be password protected -- especially at a hotel) other peripherals on the network: printers, external hard drives and disc drives (DVD / Blue Ray burners & players), scanners and USB devices to name a few.