To insert Confluence content in SharePoint edit the page and click on the + symbol and choose "EmbedConfluenceContent":
Image 1: Add Confluence Content WebPart (click to enlarge)
Configure the WebPart
After inserting the WebPart select the cotent type to be inserted: either a Confluence Page or a Confluence Blog List or a single Blog Post.
Image 2: Confluence content options (click to enlarge)
Insert Confluence Blog Lists
To insert Conflunece Blog Lists from a specific space you will have to choose Blog Lists in the configuration overview
The list of Confluence Spaces will be automaticall adjusted when typing the title of a page. If there are to many results you may want to refine your search by limiting it to one Confluence Space by selecting that Space in the menu
Image 3: Blog Lists (click to enlarge)
You may preview or save you configuration at any time.
Finish the process by saving your configuration and saving the SharePoint page as well.