Dreams is about the aftermath of a lost love. The speaker is stuck between grief and the pressure to keep going, and the repeated line "But I still move forward" works like a stubborn promise they keep making to themselves. Around it, we get small, hurting images: feet scraping the ground, a head hung low, a lonely street where "two people should meet" but only one set of feet is heard. The speaker admits they once thought they couldn't live without this person, and now they have to.
The emotional centre is the memory of a single kiss in the dark, which the speaker hoped would never end. Now it has turned into a dream they can't wake from. The mood is sad and raw, with a quiet persistence running underneath. The ending changes the refrain to "But I can't move forward," which suggests the confident front has cracked and the speaker is still held in that moment.