If the Earth had no atmosphere, the Moon would turn black during a total lunar eclipse. Instead, the Moon turns anywhere from a bright orange to a dark, dark coppery color. During a total lunar eclipse, the Earth does block all of the direct sunlight. However, some indirect sunlight does get past the Earth and illuminates the Moon, even during the dark heart of totality. But that sunlight has to pass through the Earth's air first.
Sunlight contains all colors of the rainbow.
As the sunlight hits the Earth's air, the short wavelengths of blue light are scattered and absorbed by the Earth's air, turning our earthly skies blue in the process. The longer waves of red light get past the Earth's atmosphere, go on hit the lunar surface, and turn the Moon a ruddy color. When there is a lot of volcanic debris in the air, as occurred in the early 1990s after Mount Pinatubo erupted in the Philippines, lunar eclipses tend to be very dark affairs. Since we haven't had this intense level of volcanism lately, you can expect a brighter, orangy color to the eclipsed Moon in July. The resulting darkening of the Moon is really subtle and hard to see.