I've created a blog about how to learn how to you use software that graphic designers use which includes adobe applications such as Illustrator. Now I've taken two screen shots and applied for google adsense.
Am I breaking any copyright or intellectual property rights?
If I state on my blog I don't own any Adobe software and encourage people viewing it to buy an adobe subscription would that suffice?
You have to give proper recognition to Adobe owned products and trademarks. When unsure if what you're doing is legal, consult an attorney. I suggest you visit other Photoshop and Illustrator tutorial sites to learn how they handle it.