The grass is one of the species in the genus Ophiopogon, sometimes called lillyturf grass. They are a flowering plant in the Nolinoideae. Used to be considered a Lilly family genus.
Ophiopogon planiscapus frma nigrescens is a dark purple brown leaf form called "Black Mondo Grass". It is from Japan, lower elevation forests. Ophiopogon japonicus, is also common as a bonsai accent plant. It is from southern Japan and parts of Philippines. Both are hardy to about zero F, or -15 C, but in pots they are less hardy. Can be treated as sub-tropicals.