I have heard that gout is a form of arthritis, is that true?

Arthritis is an infl. Arthritis is an inflammation of the joints. The cause of the inflammation can be from many different factors. As an example trauma, infection, an autoimmune process to name a few and a build up of uric acid which can form crystals in the joint leading to pain and inflammation are specific types of arthritis the later is called gouty arthritis.
Gout. By definition, arthritis is inflammation of the joint. Gout is inflammation of one or more joint caused by urate crystal deposits in the joint. So, the answer is yes.