Your mortgage company will send you some papers, but that's only to document the payoff of the mortgage. The "title" is actually the records held by your local county Recorder of Deeds office (or whatever it's called in your area).
You may need to take the papers from the mortgage company to the Recorder's office yourself, or the mortgage company may handle it directly. One way or the other, you will get a document from the Recorder's office that says your mortgage has been satisfied.
If YOU are supposed to take the papers from the mortgage company to the Recorder's office, be sure you do. Otherwise, that mortgage is still there as far as anyone knows.
When the county records show that all mortgages have been satisfied in full, then you have clear title. But there's no actual equivalent to the car title document.