Can I see in my shopping cart when I will get free shipping?

Yes.

At the top of the shopping cart, there is a blue bar.
In it, you can see the order amount required for free shipping in your country.

You also see the total amount of your order.
By comparing this with the amount in the blue bar, you can see how much more you need to order to qualify for free shipping.

Free shipping is only available for customers with an account.
Therefore, it may be advantageous to create an account before checking out.