Things have moved on a little since all integrated graphics were c**p. Some are now very good and, for the purposes you describe, absolutely fine
The other thing to bare in mind is that in the unlikely event you decide the integrated graphic aren't doing the job it's easy peasy to buy and fit a card yourself
Additionally, some makers charge OTT prices for a card. Last time I bought an off the shelf computer the maker wanted an additional £71 for a card I bought and fitted myself for £38
He couldn't, perhaps, be angling for a card so he can play the latest games on your new p.c. could he?