Get graphics driver here: Downloads for Graphics Drivers for Intel® Q45 Express Chipset
According to Supported APIs and Features for Intel® Graphics Drivers your GPU supports Open GL 2.0
Current Minecraft requires OpenGL 2.1 Mojang | Future OpenGL support
Try an old version of Minecaft as discussed at
Q45 chipset? There is actually a solution that don't ask you to effectively buy a gpu or stay stuck in a past minecraft build.
Answer is given in this post, but its an unofficial one, yet way less shady than most.
Good read, but TLDR, answer is in the last two posts, no link given but the right place name and where to search.