"Strep" is short for a genus of Gram-positive cocci called Streptococcus. Usually, the most common bacteria causing a throat infection (i.e. "strep" throat) is Streptococcus pyogenes.
You've asked two questions:
Streptocuccus isn't a virus; it's a bacterium. As such, it meets all the 19th century criteria for life: eats, excretes, multiplies. So yes -- it's alive.
A virus is...