Wireless A/B/G is the different standards of wireless...
Wireless A has a maximum speed of 54Mbps, but it is using a
frequency of 5GHz.
Wireless B has a maximum speed of 11Mbps, using a frequency of
2.4GHz.
Wireless G has a maximum speed of 54Mbps, using a frequency of
2.4GHz.
The laptop is able to use wireless all right.
Note that 2.4GHz frequency is used by lots of electronics like
cordless phones, microwave, etc. If you are using a laptop near
these devices, your wireless signal may suddenly drop.
LAN chip is the hardware.