Good on you for wanting to have a go
Just to add to Blurrs comment, enduro bikes are usually registerable bikes with lights etc because a lot of the riding can be in crown land and on gazetted public roads.
MX has all this stripped off for weight saving and isnt needed for short circuit tracks/jumps/ stadiums where enduro can be a few hundred kms through varying terrain and a lot more challenging in that respect, the next level and is closely related to enduro is trail riding using the same bikes which is pretty much what I do as I am not interested in racing at 180kmph down a dirt track with 200 others and my heart rate over 200bpm at my age
However it is easy enough to learn (hard to master) and as the name suggests is about endurance and enjoying the ride.
Then there is adventure trail riding, these bikes are usually huge heavily built bikes like anything over 600 to 1200cc and can carry everything to survive a full on desert crossing to a week or 3 travelling dirt back roads, however they are not enduro/mx bikes and limited to reasonably easy tracks in comparison to a dirtbike.
I have joined a dirtbike club that isnt a race club, its social riding and camping although a few do race and generally are very easy to get along with as people go, they have all ages from kids to 70 year olds riding at all levels of skill.
I dont know of any places/parks that offer hire of a trailbike near Melbourne so you can experience it for yourself but I would recommend trying that first.
Although there was one out the back of Berwick years ago? Labertouche I think, I am sure there is many more than that if you look around, ask a few bike shops.