Can you get the title on the same day that you
look at the car if you want to buy it?
If you deal face to face with a private seller that has the title.
If there is no lien on the car, the seller will have the original title and you should be given the title as you hand him the cash or as he's given cash by your finance company. If there is financing on the car, the lender retains original title. You could do the transaction at the lenders office and he might have the title there. Otherwise, you'll be given a proof of transaction and the original title will be mailed to you.
Not usually but like F_O_R said, depends on the seller.
Even if you do the transaction at the lenders office it is highly unlikely they will give you the title as they will wait for the check to clear. Since they are probably going to do the DMV paper work they will probably send everything in to the DMV for them to issue a title in your name rather than give you the signed over title.