You can search TEXT and any number of properties, but you do need to list out the properties - there is no "all" properties - because of how the indexes are structured it does not make sense to say "all properties of a document" - as a node is constructed from a TYPE plus any number of ASPECT definitions.
Out-of-the-box Share will search: TEXT, name, title, description and TAGS. You can configure this to add in any additional properties to your search template - including custom model properties.
So it is very flexible but there is no "all properties" feature I'm afraid.
Cheers,
Kev