1, giving my boyfriend shoes means as follows: I want to go with you.
2, seeing off, or sending shoes, is to send people away and break up.
Thank you for spending this difficult time with me. Thanks to you, our life will get better and better in the future. Don't give up easily no matter what little friction you encounter in the future.
Of course, the first situation is relatively rare, mostly the latter two. Your girlfriend gave you shoes, probably to get you married with her as soon as possible.
In short, determining what it means to give your boyfriend shoes mainly depends on what you think and from which angle, but I think it is normal for couples to give gifts to each other together. It is common to buy a pair of shoes or a T-shirt. So there is no need to be too entangled.
But if, really, there is a misunderstanding with your boyfriend, then you should avoid giving shoes, so that you can be less embarrassed.