A curse is the exact opposite of a blessing. In many cases, it is also an IF-THEN statement, if it talks about the future. But in some ways, it is very different from a promise; for in many cases, it is seen as a BECAUSE-THEN statement. BECAUSE you have done this, THEN this will happen to you.
This is the first curse in the Bible, and the first punishment as well. Note that this punishment was not to man, but to the serpent, or to the devil himself. BECAUSE you have deceived the woman, THEN you will go upon your belly, and eat dust all your days.
Now, the next verse will speak expressly to Satan, which we've covered at little, but for now, just realize that ultimately, Satan was the first being to be judged, and although everything he does is fallen and tainted, yet in the end, God's plan will endure and He will Reign forever! Amen!