I'm not Russian and I've never been to Eastern Europe. But that has been no hindrance to my love and affection for this market!
According to my Ukrainian co-worker, all the vegetables and fruits here are supposedly organic. They aren't labeled as such but I can vouch for the quality. On every visit, I've found fresh and delicious herbs and veggies. Variety wavers from time to time and everything is incredibly cheap. 5 for $1 lemons the size of baseballs and no shortage of beets. I suggest getting the smallest beets available. They usually taste better and they're 1000x easier to cook evenly.
They also have an impressive dry goods section. Spices, grains, etc. Spices are packaged in small plastic containers and are sold at bargain prices. This is also the only place I'll buy buckwheat. Its a staple in Eastern European homes and very good for you and your heart! The quality at Smith's and even our beloved Whole Foods is pretty awful. The buckwheat, or kasha, at this market is of the highest quality. When cooked it has the perfect taste and texture.
The deli here has so many varietals of salamis, hams, and other unidentifiable meats and cheeses. I'll probably never get through trying them all but I've sampled 4-5 at random and they've all been quite delicious. Next pick-up, headcheese!
Developing your palate also has to do with experimenting with foods you're not used to. Every time I come here, I make it a point to pick out at least 1 item I've never cooked or eaten before. So far my palate has been particularly happy! ...and so has my waistline.