The Ivorian netted after 37 minutes, his first goal after a six-month injury lay-off, and was clearly delighted to get off the mark.
"It was a great feeling," said Gradel.
"Today is a very important win, we knew it was going to be hard at the beginning of the season but we've always believed.
"Despite people being injured we've all stuck together. So today I am happy for everyone involved with the club - now we just need to keep going."
The 28-year-old winger came in from the left to strike past Lukasz Fabianski and open the scoring, after the goalkeeper parried Adam Smith's cross.
He then made a beeline to the Cherries bench to celebrate with Eddie Howe.
"I wanted to celebrate with everyone," he continued.
"Because when people are nice to you, you have to give something back to them - that's what I've tried to do.
"I hope that goal and my performances for the rest of the season will go some way to repaying that."
Read the full match report of the 3-2 victory over Swansea City here