The nature of the power band of 2 strokes generally can make it difficult for a newbe to negotiate the clutch when starting to move. 2 stroke enduros might be an exception here. If you could find a good DT360 Yamaha that would be good to learn on (I assume you are new to bikes). 2 strokes are usually lighter than 4 strokes as well as less top heavy and these are good things for a newbe to move around at lower speeds.
One way bikes are different from cars is that bike riders need to know how to do basic maintenance and pre-ride checks.
A bike like a Seca 650 for example, is not too heavy, is a bike that has enough power to not make you bored when after you feel comfortable riding and has a driveshaft, which means you don't have to be maintaining your chain so eliminates one thing to worry about.
When you do buy a bike take a friend that knows bikes to check it out, a maintenance nightmare or worse yet an unsafe bike when you are just learning is just going to make things more complicated.
By the way, I love 2 strokes
All in all, I don't think you will find a DT360 but I think the best for you would be a smaller 4 stroke that has a driveshaft, just to start with especially since 2 strokes have not been made for the street for years, so it is rarer to find a good one. Don't worry about one that looks pretty, chances are it's going to fall over on you when you are just moving it around or riding at slow speed like in a parking lot.