First, Watch this youtube video: Scissor Sharpening - with Paul Sellers It's 17 minutes long, but if you keep watching he gives lot's of good information about working on scissors. You really must watch all of it.
Now, I totally agree with MK... the gap is on purpose and forging a no-go. If you really want to do something like that, you should try making some scissors from scratch to get a feel for the process. After that experience, you will probably have a lot more respect for those old shears. That being said, some blades actually are bent too far... and the video above shows how to correct that, too.
Also, I need to address the comment made on MK's answer. Quenching with water makes steel brittle. Water quenching is best left to the absolute, super-duper professional... and even then, I would have my doubts. In this case, you are only dealing with scissors, so (if you were forging them) any old oil should be fine. Vegetable or motor oil would work. You actually don't want scissors to be ultra-hard.
Note: Actually, because of your statement that one blade is bent, I think that you might only have one blade and a "back" (I can't be sure from the pictures). But if that is the case, then typically, only the blade should be bent... not the back (which should remain straight).
Footnote: perhaps I am just seeing an artifact of the photograph, but it looks like you are missing some meat on the ride (or machi☺, see diagrams above). I probalby shouldn't mention it, because it might not be the case, but if you did have that issue then the first thing to know is that adding meat is not realistically possible. You would need to grind/remove steel from the entire inner surfaces of the blades (especially including the metal of the pivot area under the screw) in order to accomodate the worn out ride.
Also, some blades are actually twisted (not bent) counterclockwise (for right handed scissors, vice versa for lefties). Or if you do actually have two blades, then both blades would be twisted counter-clockwise. The twist should be practically imperceptible. Only when the scissors are screwed together would the twist become apparent, as it will hold the blade(s) apart, just like a slight bend would do.