class Tag(models.Model):
name = models.CharField(maxlength=100)
class Blog(models.Model):
name = models.CharField(maxlength=100)
tags = models.ManyToManyFiel
Please don't reinvent the wheel and use django-tagging application which was made exactly for your use case. It can do all queries you describe, and much more.
If you need to add custom fields to your Tag model, you can also take a look at my branch of django-tagging.