Laptops are tricky. Without knowing the exact specs, it's hard to presume whether it'll work without a dedicated GPU. Integrated GPUs rely quite a bit on system resources (RAM & CPU). So a low budget laptop with a lower end processor probably won't do that well.
Many laptops these days have the Intel HD graphics accelerator in them, which is horrible for anything beyond internet/email. The dedicated graphics cards generally offered on laptops less than $600 are usually not very good either, but are still a lot better than the integrated Intel stuff. Therefore, it would still serve you better if you're trying to stream or edit or view HD content.