Yes, the first time on the bike I felt as if I was going 60-65kmph, but when I looked at the speedo, it showed 35kmph. It was scary. However, I got accustomed to speed very fast though, maybe on the second or third time riding I was comfortable going 60-70kmph. The cars in close proximity also felt weird first time but it got better the second and third time riding. I dropped my bike in a slow corner on my second ride. Then, while practicing U-turn in the parking lot I dropped my bike 2 more times. I couldn't properly manage clutch and throttle.
When you start feeling comfortable performing general basic riding, your next challenge will be to overcome the fear of lane filtering (if your laws permit), especially the situations when the lights turn green and you are still in between cars crawling ahead and now everyone has started moving and you have to merge and some jerks will try to block you. Then, when you master lane filtering, your next step is to get used to lane splitting, which is more dangerous and requires more finesse.
After a while you'll get used to that as well to the point that you will no longer care whereabouts you are in the traffic, how many cars or jerk drivers are next to you, at what speed they are moving and if you are in between cars when lights turn green. It will still require quite a bit of brain work to keep calculating and predicting possible car maneuvers and your possible path of travel in advance and long traffic jams may exhaust your brain but you won't really care if you can do so or not. You may choose not to filter or split because you just need a little time to relax and just sit in traffic.
You don't have problems walking along a busy street with lots and lots of people around you and you have no trouble navigating in such a crowd, right? Eventually, you'll obtain the same skill on your bike around other cars and traffic in general if you keep riding.