To dream of gifts often suggests there are opportunities or blessings in your life, in front of you or on their way to you. This will often mean that they are on their way to you, or that you may have to do some work to go and get them. There may be a gift in your dream that is unopened, or just resting on its own somewhere. The message here is that there is an opportunity around you that you are missing out on and leaving unattended. The details in the dream around this gift, or any people that are associated with it will highlight what opportunities are being missed.
Are you the person bearing a gift in your dream? The message here then is that you should be offering a piece of yourself to someone in your life. Who are you bringing the gift to? A gift or act of love or random kindness in your waking life will make this dream come to reality. If the gift in your dream is opened by you, and you do not like it, the dream could be foretelling of disappointments on their way to you. If there are many gifts, and you are the one bearing gifts, the message could be that you are being a little overbearing or pushy with someone around you.
The message is the same about someone else if you are being overloaded with unwanted presents. Very often gifts in dream simply symbolize generosity. And so you really want to pay attention to who is being the generous person. If it is you, you may be summoned to practice a little more benevolence in your waking life.