Yes, all Cochrane Systematic Reviews are full text!
Remember, Protocols are in-process reviews, so there is no full-text for them, yet. You can choose to look only for reviews in the search limiters.
How do I get the Full Text of an Article?
To display the full text of an article, click on its HTML or PDF icon
Results List
Individual Citation
How do I track down an article that is not full text in Cochrane?
All the reviews are full text! Protocol, remember, are in-process reviews, so there is no full-text. You can choose to look only for reviews in the search limiters.