Only AMD is using the 'APU' label for CPU/GPU integration. Intel just call 'em all CPUs.
Before the current crop of APU / CPU with GPU on the CPU chip there were motherboards that included integrated graphics chip on the motherboard. BIOSTAR A880G+ AM3 AMD 880G
and it's motherboard integrated video chipset - ATI Radeon HD 4250 is an example.
A typical FM1/Llano motherboard: BIOSTAR A55MH FM1 AMD A55
does not have a motherboard integrated video chipset.
The motherboard DOES have built in video ports (HDMI, D-Sub + DVI) but depends on the APU for video output. Without an APU - like when using Athlon II X4 631 - it cannot output video and must have a separate video card.
AMD A6-3650 Llano 2.6GHz Socket FM1 would have working graphics
AMD Athlon II X4 631 2.60 GHz socket FM1 would not have working graphics - even though the chips are physically similar. The graphics section would have been disabled.