Q. What is it supposed to be on the show?

A. A public street

 
Q. Where is it supposed to be on the show?

A.  In New York City.

Q. When did we see it on the show

A. In Episode 9 of Season One of Resurrection.

We first see Charley drive into the scene in her Mercedes, and then stop and buy flowers from a street vendor, next to a park, in what appears to be a nice neighborhood.
 
After she gets back  in her car, she is surprised when Dexter (still posing as “Red”), pops up from the back seat and loops a sharp wire garrotte around her neck from behind, mimicking what the Dark Passenger killer used to do.
 
When Dexter last saw Charley, it was back outside the steakhouse restaurant, where her boss, Leon Prater, had promised Dexter that he wouldn't bother Harrison. But since then, Charley paid an unwelcome visit to Harrison at his hotel, where she intimidated him with a gun, asked him personal questions, and took a glass with his fingerprints on it.

So Dexter is out to teach her a lesson, and to convince her to leave Harrison alone.
 
Dexter uses the garrotte to control her, and makes her drive around while he issues threats about what will happen if she continues to bother his son.

When he tells her he broke into her house, she becomes emotional and asks if he killed her mother. He says he didn't, but leaves the suggestion that he might, if she doesn't back off.

She tells him that everything she did was a direct order from Prater, and that he used her concern about her sick mother has a weakness to control her. She says that apparently his son is his weakness.
 
Dexter realizes the Prater is the real villain here, and decides that he needs to take him out.

After genuinely scaring her, Dexter has Charley pull over on a nondescript street and gets out of the car, letting her go unharmed.

Q. What is it actually in real life?

A. A public street, next to a park.

 

Q. Where can I find it in real life?

A. They set up a fake flower stand at the southwest corner of the (Eastern) Rector Park, near the corner of S End Ave and Rector Place, in New York's Battery Park neighborhood. It is just a block east of the Hudson River. 

  

The tiny park is right across the street (north of) a condo high-rise known as Liberty Court, which is at 200 Rector Place.
 
The fake flower stand faced S End Avenue, and that is where Charley is standing when she buys the flowers.

When we first see Charley drive into the scene, she is heading south on S End Ave, She makes a left turn to head east on Rector Place, but she stops almost immediately and parks just around the corner on the north side of Rector Place. When she does, the awning right behind her reads 280 ( Rector ). That is a relatively low-rise condo called The Soundings.

She then walks back around the corner to the flower stand, and  buys the flowers, then walks (NW) back  to her car, where Dexter springs up from the back seat and captures her. She then drives off east on Rector Place.

In the photo below, when she first arrives, Charley's Mercedes is driving  south on S End Ave,,
and is in the process of making a left turn to go east on Rector Place.

As you can see, the fake flower stand was erected at the 
southwest corner of those two streets, facing S End Ave. 

He eventually releases her here.


The Battery is a 25-acre public park located at the southern tip of Manhattan Island in New York  (within Battery Park City), facing New York Harbor.

( By the way, if you ever wondered why “The Battery” in New York is called that (it probably reminds you of something you recharge), in this case its origin is the military term that refers to fixed gun emplacements at a fort. And in the past, the area now known as The Battery was actually just that: a heavily armed fort originally named “Southwest  Battery”, designed to protect New York Harbor following the War of 1812. The Fort was soon renamed “Castle Clinton”, and now serves both as a museum and as a vendor of tickets to the nearby to the Statue of Liberty and Ellis cruises.  )

 
Here is a matching StreetView of the corner where Charley bought the flowers: 

 
Here is an aerial photo of the location.  And here is a map link.