1)
Why did she give this Brachah?
1.
Malbim: Aside from the Chesed due to you, He will give to you a gift, and each of you will find rest in the house of your [future] husband. This corresponds to "Shovenah Ishah l'Veis Imah" (8) - widows who do not want to remarry, they make for them a house by itself, like a woman who rules over her own domain. If she wants to remarry, she returns to Beis Aviha. Nochrim do not have paternal lineage, so she returns to her mother's house until she will remarry. Each should have rest in her husband's house, and not experience bereavement and widowhood again.
2)
Why did she kiss them?
1.
Malbim: It was kissing of one who leaves [his beloved].