Such a star will be about 1.2 times the size of the Earth. At 1 solar mass, the size is 0.9 times the size of the Earth, and at 1.3 Solar masses, the size is 0.4 times the Earth. There is a limit of about 1.4 Solar masses after which degeneracy pressure cannot any more sustain a white dwarf. This limit is called the Chandrasekhar limit. There are no white dwarfs heavier than this.
Density is enormous, between one and ten million grams per cubic centimeter.
This is tons per cubic centimeter. White Dwarfs have no source of energy, so they will gradually cool. Because their pressure has nothing to do with temperature, their radius remains constant. Star moves steadily down and to the right. Exact track depends on mass.