Yes, the Russians did send troops to France in an effort to foster mutual support for the war effort. The force arrived in France and was assigned to a sector. They gave a good account of themselves during the battles.

However shortly after that, the revolutionary fever that was infecting their homeland also began to destroy the effectiveness of the unit. Soon it was divided into ‘white’ and ‘red’ factions. The situation worsened and the ‘White’ faction with French artillery support ended up besieging the ‘Red” faction. After several weeks the siege ended with a successful ‘White ‘ assault on the ‘Red’ positions. The Russian Force wore uniforms characteristic of the Russian Army. The best book about this unit is “With Snow on Their Boots”.

World War I Unique and Forgotten Units and Their Uniforms

Introduction
Portuguese: Flanders/Africa
Russian Expeditionary Force to France
Greek Forces on the Salonica Front
Albania and the Albanian Legion
The Three Czech Legions
Polish Legions in Russia and France
Canadian New Foundland Regiment
Singapore Mutiny 1915
British Operation in Somaliland
Pershing in Mexico: Battle of Carrizal
Persia and the Cossack Brigade
Ceylon Planters Rifle Corps
Italian Eritean Askaris
South African Revolt and Commonwealth Units