As you shooting more and more picture, you will realized bigger sensor still is a big plus. In this case, A6000 (aps c) is better than G7(m43).
Even M43 has some good lenses, for everyday use, normally just one( We are not pro photographer, do not think you'll need all the lenses). In this case, either A6000 or G7 is fine.
But, if you think you will have more fun(Upgrade camera/lenses etc.) after this first mirrorless camera, go with Sony, get A6000. You can buy Sony full frame lenses after you know what you are shooting, when you get bored with A6000 (aps-c), you can still keep those lenses and buy a full frame Sony mirrorless camera(A7r II or whatever the latest one).
Also, if you want to shoot 4k video, buy G7. If you want to have a camera that focus very fast, buy A6000.
Conclusion, if you just want a camera, A6000 and G7 are both a good camera to own. But if you think maybe you will learn more about photography, or upgrade your equipment in the future, go with Sony, they get both aps-c and full frame camera/lenses.