"It doesn't seem so much a question of whether or not God is still speaking as it is whether or not we are listening." (Susan Rohrer)
- you receive an answer to your problem
- it's like a blinding flash of light
- it's an "Aha!" moment
To be inspired literally means to be "breathed into". I believe that the Holy Spirit can "breathe into" you. He can give you the idea that you have been searching for. He can help you write that book, paint that painting or compose that song. He can help you overcome that obstacle. How do you get filled with the Holy Spirit -- by faith and faith alone (https://www.cru.org/train-and-grow/transferable-concepts/be-filled-with-the-holy-spirit.7.html).
My brother Bill used to have a karate instructor who asked all of his students to throw all of their problems in a basket as they entered the front door of the karate studio. He knew that way, they would be able to focus on the task at hand. "Be still and know that I am God." (Psalm 46:10) In order to receive the Holy Spirit, you need to be calm and relaxed and clear minded. Give your problems over to God. Surrender to Him. Be patient. You will experience that "Aha!" moment.
Read The Holy Spirit: Amazing Power for Everyday People by Susan Rohrer http://www.goodreads.com/book/show/12364962-the-holy-spirit.