Yes! And you will also see group name before joining, and starting from 6.4.1 also group logo and welcome message.
Discussion
Why is it that when I share my group link it still is the longer string?
You need to have v6.4-beta.4 version. If you created the link previously, it won't be automatically shortened - there is a button under the QR code to add a short link to it.
And the old link will continue to work. This short link is simply a reference to the container with full link, group profile and the key - see the post!