@tsarstepan,
Hi tsar,
That used to be the case for sure, but now you're describing preschool more than kindergarten. Everything's kind of been moved up a year. Preschool is for the general acclimatization and especially emphasis on social skills (which are important), then in kindergarten there are more academic demands. (I know, kindergarten!)
So depending on how old your child is, kinder10, one big recommendation I have is that you do preschool first. A lot of people don't realize how important it's become, and how much kindergarten teachers assume that your child has already experienced preschool.
If your child has already attended preschool, I think you don't have to do anything specific, just kind of encourage their interest and excitement about school, talk about it in a positive way ("School is going to start in a week!!"), do fun things around preparing (having your child pick out a new backpack for example), stuff like that.
Actually if your child hasn't attended preschool, same thing, as you won't be able to make any particular inroads academically between now and when this school year starts. I think it'd be more likely to just make 'em anxious, and you definitely don't want that.
edit: all of the above applies to the US.