[Fyron]

Look in System Properties > Device Manager > Network Adapters. This should tell you exactly what the card is.

There are wireless routers without a built-in Ethernet switch (usually called a base station or something), but most of them include a switch because its dirt cheap to do so, and always useful for the customer.

For a good Linksys or Netgear 802.11g router, you're looking at $50-60 US (though they do get put on sale all the time). 802.11n routers tend to have gigabit Ethernet switches, and cost in excess of $100 US. There are also more expensive models with fancy features like USB ports for NAS (network attached storage) hard drive setups, but that's usually overkill.