A word/phrase for "being extremely happy and jumping gladly"

I think you are looking for :

Jump for joy:

• to be extremely happy:

  • Tina jumped for joy when she found out she'd be in the team.

  • "So how did Robert take the news?" "He didn't exactly jump for joy." (Cambridge Dict.)

The expression can refer both to physical and metaphorical Joyful jumps.

A word that fits the bill pretty perfectly is giddy. This word is used to describe childishly obnoxious joy. A giddy person is pretty much always smiling, usually giggling or laughing, and typically dancing and/or jumping, bouncing, or otherwise being energetic.

Exult has the denotation of joy:

verb

[NO OBJECT]
Show or feel triumphant elation or jubilation:

ODO

It contains the connotation of leap:

1560s, "to leap up;" 1590s, "to rejoice, triumph,"
from Middle French exulter,
from Latin exultare/exsultare "rejoice exceedingly, revel, vaunt, boast;"
literally "leap about, leap up,"
frequentative of exsilire "to leap up,"
from ex- "out" (see ex-) + salire "to leap" (see salient (adj.)).
The notion is of leaping or dancing for joy. Related: Exulted; exulting.

She was exulting in her victory