Both Uses

sublime
in
Franny and Zooey
(Edited)

Everyone in the Glass family—Zooey certainly not least—was familiar with this sort of non-sequitur from Mrs. Glass. It bloomed best, most sublimely, in the middle of an emotional flareup of just this kind.
Chpt 2.2 *

sublimely = completely
At first piecemeal, then point-blank, he let his attention be drawn to a little scene that was being acted out sublimely, unhampered by writers and directors and producers, five stories below the window and across the street.
Chpt 2.3 *

sublimely = wonderfully

Definitions:

(1) (sublime as in: she is sublime)
impressively wonderful -- often beautiful or morally admirable
(2) (sublime as in: sublime ignorance)
pure or extreme
(3) (meaning too rare to warrant focus)
More rarely, in chemistry or physics, sublime is used to indicate that something changes from a solid into a vapor without first melting; or vaporizes and then condenses right back again. That sense of the word is also often seen in the form sublimate.