2001 VW Beetle problems

My car starts and drives ok if it has been sitting for at least an hour. However, after I drive it to run an errand I have problems when I get back in the car within a short period of time. What happens is I put the keys in and start the car. However within a few seconds after it starts it dies. Then I have to wait at least 20 mins before I can start my car back up and drive away. I haven’t heard any strange noises or smelled any strange smells. Where should I start looking for the problem? I have been concerned about driving it any where yet to have the computer read because I might get stuck there.

No guaranty here but I suspect a possible fuel pressure fault.