First of all, it should be noted that Chinese economic reform started out way before the Cold war ended, they began in the early 1980s and have already bore fruit by the time the Cold war ended.

Second of all, this is a pretty difficult question to answer because above all, the end of the cold war was overshadows by Tienanmen square 1989 in China. You can argue that the fall of Communist regimes in Eastern Europe helped to prompt the crackdown on protesters in Tienanmen square, but the primary event for China was never the end of the cold war per see.

Paradoxically then, if you want to link the end of the Cold War and Tienanmen, is that the collapse of Communism in Eastern Europe slowed down reforms in China. The lessons the CCP learned from Tienanmen and Solidarity in Poland was that political liberalization was dangerous to the survival of the regime, so was, for that matter, a powerful private sector. And you can see decrease in capital availability to private/semi-private sector enterprises in the aftermath of 1989. As well as rollback on political reforms.

Geopolitical speaking the fall of the USSR was a boon to China which saw it as the primary threat from the 1970s onwards. But then again, Chinese military budget have already sharply decreased during the 1980s.

Chinese internal party politics at the high level tend to be pretty opaque to the point where I don't think it's useful or possible to distill the exact dialogue on the end of the cold war. Except possibly as a warning to the CCP against liberalization.