According Wikipedia it ran for two seasons on CBS for a total 13 episodes from 1977 to 1979.
To be specific, that's the gloriously funky season 2 title theme by Dana Kaproff, which I've loved since I was a kid. It's the best of the show's three main title themes, after the pilot movie's theme by Johnnie Spence and the season 1 theme by
Battlestar Galactica's Stu Phillips.
Like
Galactica, this was one of those short-lived shows whose episodes got edited together into TV movies, since they were too short to syndicate as series but could be syndicated in movie form, which was the only way people were able to see the show again in the decades between its cancellation and its eventual home video release. The movies included the pilot and the two 2-parters, but the rest were just unrelated 1-hour episodes spliced together into "movies," with the lead actors brought back to do cheaply filmed bridging scenes to lead out from one episode and into the next, even though sometimes they did a season 2 episode in the first half and a season 1 episode in the second.
Robert F. Simon played J. Jonah Jameson, but he was a more avuncular, toned-down version of the character, really more of a Perry White or Lou Grant type. He was the only comics character in the series besides Peter, although Aunt May appeared in the pilot (but Uncle Ben didn't).
There was also Japanese Spider-Man.
Which was a contemporary of the US series, airing from 1978-9. They both did decent interpretations of the costume, differing from the comics mainly in having a single large web-throwing wrist device outside the costume, with the Japanese one being more elaborate. The US show did better with the wall-climbing scenes (although they were only straight up and down, and you could often see the winch supporting the stuntman from above), but the Toei show did better with the hero's spider-like movement, agility, and fighting style.