There are a number of metrics describing the communication between Varnish and it's backends.
The most important metrics here might be these:
varnishstat -1 | grep "backend_"
MAIN.backend_conn 86913481 4.70 Backend conn. success
MAIN.backend_unhealthy 0 0.00 Backend conn. not attempted
MAIN.backend_busy 0 0.00 Backend conn. too many
MAIN.backend_fail 7 0.00 Backend conn. failures
MAIN.backend_reuse 0 0.00 Backend conn. reuses
MAIN.backend_toolate 0 0.00 Backend conn. was closed
MAIN.backend_recycle 0 0.00 Backend conn. recycles
MAIN.backend_retry 0 0.00 Backend conn. retry
MAIN.backend_req 86961073 4.70 Backend requests made