Using Device Manager in Windows, you can expand the Network Adapters category and look at the properties for your WiFi network adapter. This is assuming a driver is already installed for the WiFi network adapter, otherwise it should be in the Other Devices category. On the Details tab of the device's properties, you can view different properties, such as Hardware IDs that will show the vendor and device id for the WiFi adapter. A quick Google search should yield who the vendor is and what the device is that matches the id.
For example, information for an Intel Ethernet adapter might look like:
PCI\VEN_8086&DEV_10D3&SUBSYS_A01F8086&REV_00
A Google query of ven_8086 dev_10D3 yields enough information to find the proper vendor website and choose the correct product drivers.
You can also copy and paste your hardware ID in the forum here if you are having trouble looking them up.