Correct. I was only just testing the network bandwidth for such a set-up yesterday. I have 5 PCs and a NAS (all gigabit) connected to an 8 port gigabit switch and get gigabit connectivity between them all.
The gigabit switch is connected to a wireless access point via its built in 4 port fast ethernet switch, which then connects wirelessly to my wireless ADSL modem router to provide my internet connection.
TOG