If you go to Google.com, you should see your profile picture in two (2) locations. The smaller one in the upper-right corner indicates are signed in to the Chrome browser. The slightly larger one underneath indicates you are signed in to your Google Workspace apps (Gmail, Drive, Docs, etc.).
By default, Chrome will save each file you download to your computer's Downloads folder. If you prefer, you can change the setting so it will ask for the save location before each download.
Ask Where to Save Each Download FileUse the official Google Chrome Help Center for additional support.