Correct - applying Healing Blast requires you to burn a turn attempt as a Swift action.
As for the spell list, it depends entirely on what she wants to do. Does she want to hang back and blast, or wade into melee with a glaivelock and cleric buffs? Does she want to primarily deal damage, or support her team? What's her exact build? (i.e. Cleric X/Warlock Y/ED Z, fill in the numbers.)