You can use the below REST endpoint:

http://<SERVER>/_api/web/lists/GetByTitle('Documents')/items?
$filter=ContentType eq 'Document'
&$select=Title,FileLeafRef,Created,EncodedAbsUrl
&$orderby=Created desc&$top=10

This will give you latest 10 uploaded documents along with the document's title, name, absolute url as well as created date. This assumes that you know the list name.