> the type of things Google could do with Gemini integrated into Google Docs
Google already does have this in Google Docs (and all their products)? You can ask it questions about the current doc, select a paragraph and ask click on "rewrite", things like that. Has helped me get over writer's block at least a couple of times. Similarly for making slides etc. (It requires the paid subscription if you want to use it from a personal account.)
That's there too; see https://support.google.com/docs/answer/14206696 — you can click on the "Ask Gemini ⟡" and carry on a conversation, e.g. "summarize emails about <topic>" and use those to paste into the doc. (I haven't found all that much use for referencing other files though. But the "proper chat" is useful for saying things like "no actually I meant something more like: …" and carrying on.)
Google already does have this in Google Docs (and all their products)? You can ask it questions about the current doc, select a paragraph and ask click on "rewrite", things like that. Has helped me get over writer's block at least a couple of times. Similarly for making slides etc. (It requires the paid subscription if you want to use it from a personal account.)
https://support.google.com/docs/answer/13951448 shows some of it for Docs, and https://support.google.com/mail/answer/13447104 is the one for various Workspace products.