Victory of Algerian War: Algeria could not have won if it was a battle of brute force. The circumstances of the Cold War helped them manipulate things in their favor. France loosened their grip on Algeria to help the US against Russia, which gave Algeria a chance for victory.
Algerian Independence: Because the circumstances of the Cold War allowed Algeria to win the war against France, Algeria gained their independence from France. Independence may not have been possible without the US's fear of communism during the Cold War.
Domestic Stability: The Cold War prompted Algeria to take a stance against colonialism as they had just won their own freedom. They also joined the non-alignment movement and did not choose a side in the Cold War. Aligning themselves with these ideologies played a integral part in creating domestic stability for Algeria.
Debt to Russia: During the Cold War 70-80% of Algeria's military inventory was paid for by Russia, mainly through loans. Infact Algeria did not stop making payments to Russia until the 1990's. However there was still a lot of debt, which was not settled until until 2006.
Economic Opportunities: The long relationship between Algeria and Russia during the Cold War brought Algeria many economic opportunities with Russia. Russia helped Algeria develop industries like energy, mining, engineering, etc. Russia also built steel plants for Algeria. In June 1993, an agreement established economic cooperation between the two countries.