The former Ajax man scored both goals in the opening 20 minutes, taking advantage of some ponderous defending from the Hoops, before Daniel Agger headed home from a corner to complete the scoring.
"He's been brilliant for us since he came to the club," Gerrard told Sky Sports. "Week in, week out he shows what a top player he is.
"These players have only got to play against him twice a year, we've got to train against him every day, he's a magician."
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"I wouldn't say it was easy, that's very disrespectful to QPR but they're having a tough time at the moment," he added.
"We knew if we started well we could quieten the crowd and out football would take over and we were probably the best we've played so far this season.
"At half-time we wanted more goals but Harry Redknapp's a top manager he's not going to not change things.
"He changed things to three at the back and credit to him we found it a lot harder to get through in the second half, but we played well today and deserved the three points.
Brendan Rodgers missed the game after picking up a suspected virus that has also affected other members of the coaching staff and the Liverpool captain dedicated the win to their stricken manager.
"Yeah, it's tough [without Rodgers], there's a gap there," Gerrard explained. "You can tell when Brendan's not there, he's been fantastic since he came in.
"He's been brilliant to the players and when we knew he wasn't going to be coming today it was important that we got the three points for him and make sure he's getting looked after at home and he'll be happy with the lads today."