Well the situation is the same, the Core 2 Quad will use more power overall then the E-350 and it will perform better.
And what do you mean by 'streams video games'?
Meaning he uses a capture card to play them with commentary for an audience. Having said that, his current laptop can handle that, so if you say that the core 2 is more powerful, it will be able to.
Thank you for your advice!