You won't necessarily feel the same paranoia from LSD as you do from marijuana. It really depends on your mood when you take it and the people around you. Many people find that marijuana makes them paranoid and anxious but LSD gives a body high as well as a different mental high.
You're unlikely to see pink elephants or whatever crazy hallucinations depicted in the movies unless you take a very high dose (don't do that!) What you will see are walls or other stationary objects moving slightly, sometimes a kaleidoscope of colors when your eyes are closed, and you may experience some arousal like you would on ecstasy.
You may not feel paranoia from LSD just because you feel paranoia while smoking marijuana. The effects of LSD are quite different, and much more dangerous, than the effects of marijuana. People who are high on LSD are more likely to see colors, hear sounds, and experience other things that are not there in reality.
They may also have an increased heart rate and feel other physiological symptoms. LSD is known for instilling fear and panic in users that can sometimes lead them to do extreme things that they would not do in normal situations, such as attempt to fly.