like that

[shootingstar]

(Thornton Wilder, Our Town, Act I)
. . .
Mrs. Gibbs: Now, Myrtle. I've got to tell you something, because if I don't tell somebody I'll burst.
Mrs. Webb: Why, Julia Gibbs!
Mrs. Gibbs: Here, give me some more of those beans. Myrtle, did one of those secondhand-furniture men from Boston come to see you last Friday?
Mrs. Webb: No-o
Mrs. Gibb: Well, he called on me. First I thought he was a patient wantin' to see Dr. Gibbs. 'N he wormed his way into my parlor, and, Myrtle Webb, he offered me three hundred and fifty dollars for Grandmother Wentworth's highboy, as I'm sitting here!
Mrs. Webb: Why, Julia Gibbs!
Mrs. Gibbs: He did! That old thing!....
Mrs. Webb: Well, You're going to take it, aren't you?
Mrs. Gibbs: I don't know.
Mrs. Webb: You don't know - three hundred and fifty dollars! What's come over you?
Mrs. Gibbs: Well, if I could get the Doctor to take the money and go away someplace on a real trip, I'd sell it like that. - Y'know, Myrtle, it's been the dream of my life to see Paris, France. - Oh, I don't know. It sounds crazy, I suppose, but for years I've been promising myself that if we ever had a chance -
Mrs. Webb: How does the Doctor feel about it?
. . .
--------
What do you take like that to mean in this context?

 

[5jj]

Without hesitation.

 

[SoothingDave]

Tout de suite, as the French would say.

 

[Barque]

I'd sell it like that.

You can also read it as "I'd sell it just like that". That phrase is likely to be accompanied by a snap of the fingers or some other gesture indicating "in a flash", or "without hesitation" as 5jj says above.