Maybe you/your brother (unclear who this thread is for) should start playing the games before thinking you need programs... Since it's a laptop I'm assuming you're not connecting another monitor, because if you would then you could just have bought an actual computer for half the prize and double the performance.
Most games takes up the whole display, not much point in having a program in the background if you can't easily access it (ALT+TAB is really annoying on laptops, too much flickering).
As for which programs you should get, well, when I play ESO I have Excel up with various spreadsheets keeping track of my shit. Other than that it's the occasional walktrough or something, so Chrome is also recommended.
Programs tend to have a purpose, unless you have something that needs to be solved it's really hard recommending programs...