Intel core i5 processor and various mainboards integerated VGA Chips

Hello experts,

I am planning to buy a new PC, and am willing to put it all together myself.

I been to one of the biggest shops in the market. This shop has its own tech store where they can try to fix what they can fix and give some advice to buyers.

I was planning to buy some specific processors and some other parts, heres what I asked about:

1156 socket Intel core i5-670 3.46Ghz processor,
1156 socket Gigabyte H55M-USB3 Mainboard,

The problem is that one of the techs advised me not to rely on the mainboard integerated VGA chip because they say that intel i5 cores have issues with various integerated VGA chips,

To be honest, I just nodded and pretended that I completely support what he said and left.

I did not accept what he said at all, I always knew that some of the intel core processors does not support graphics, and maybe that is the issue, bbbbut,

I am here to ask about those two parts up there, aren't they compatible? since the intel processor up there supports graphics and the mainboard has an integerated VGA chip and am not willing to buy an additional VGA card,

Because thats what the Tech guy suggested me to do if I was going to buy an intel core i5 processor?

I appreciate the help.

Thanks