I was raised mostly by my grandparents, and they were the ones that got me my first computer for Christmas '85, and my first game console, a NES a few years later.
A few years ago after my grandmother started to get ill I decided to have her move in with me, none of her children were all that interested in looking after her, nor my siblings or cousins, and I was enraged at the idea of her being left alone in a retirement community, so I packed up all my junk and moved us to a better area for her (much warmer) and it did wonders, it's like she's 20 years younger, of course I get some flack from people that I live with my grandmother, but screw them, she looked after me, I'll be damned to hell if I don't look after her.
Anyway back on-topic, growing up she and my grandfather played a few games with me, but she can't get her head around the latest games, but that doesn't mean she doesn't enjoy them. We often spend a quiet winter night in the lounge room, me with the latest game on the 360, and her with her knitting offering choice bits of commentary. She loved the GTA games for example, would always be joking around, and on one memorable occasion while I was playing Prototype she told me to drive a tank down the sidewalk, making comments about how Melbourne streets would be much easier to get around if you could that in real life.
So I think she'd like it.