I agree that MyCIC doesn't provided much info. But for those who are still trying to connect, I just got my husband's to link after weeks of trying. My big discovery is that the information needed to link his account was based on his previous application for a visitor visa, which was denied. Specifically, I discovered that his town was spelled with a "U" in the visitor visa application, and an "O" in the permanent resident application (there are two commonly used spellings for his town). In any case, I'm finally linked it and there isn't a whole lot of new information there. For those who previously applied for visitor visas, go back and check what was submitted.
Before figuring out how to link it, I called the CIC service line and followed all the prompts. After verifying info, their automated system gave me just about all the information that is available on MyCIC. For example, in the basic online tool for checking status (before linking the account), it said that the medical was received. On the phone (and on MyCIC) it says the medical was passed, which was a pleasant surprise. Also, after at least 30 minutes, I got to speak with someone who helped me verify his UCI (which I got mixed up with mine) and how many people were on the application (2, not 1 or 4, even though I have two children who are Canadian and were included in the application). She told me that his name was also documented in all caps.
Maybe this will help someone else.