"Country" or the "countryside"

A village isn't the countryside. The countryside is fields, forests, farms. A village is made of houses, shops, a church and a pub.

A village is usually surrounded by countryside, but they are not the same.

The word "country" is best used as a modifier.

So you might say:

At the weekend I like to take a walk in the countryside. We will often stop at a country pub and enjoy a pint.

Last summer I visited the pretty village of Little Snoring.

In Russia many people own a dacha in the countryside which they visit during the weekend and summer holidays (Note: for the specifically Russian cultural word, we use the borrowed word).