No, the raid on Berlin didn't target civilians. It was aimed mainly at Tempelhof airfield, the Siemens factory in Siemenstadt, and various other small military targets in and around Berlin. The bombers were even under orders that if they couldn't find their exact target, they were to bring their bombs back, or jettison them at sea.

To be fair to the Germans, at this point they too were still trying to hit military targets in Britain. Both sides thought their bombing was more accurate than it was. Both sides knew the enemy bombing was incredibly inaccurate. That gave both sides the impression the enemy were deliberately bombing civilians.

Until 7th September both sides were doing the same thing, bombing military targets with relatively small numbers of aircraft. What changed is that the Germans then started saturation bombing London, then other British cities. They adopted widespread use of parachute mines and incendiary cannisters, neither of which could be aimed, and deployed them over British cities en masse.

The first time the British adopted similar bombing techniques was against Mannheim on 15/16 December 1940. The raid was authorised as a reprisal for Coventry. It was the first British area attack of the war, and about 120 bombers took part. By then, the Luftwaffe had killed about 20,000 British civilians.