How to correctly wire LF356 JFET Opamp as amplifier?
Vcc is single supply 3.3V


Minimum recommended operating conditions for the LM356B is +/- 15 V power rails. However the data sheet does indicate that +/- 5V is likely for the LM156 version (figure 5). It won't at all properly work on a single 3.3V rail and ground.

I see in a comment that you are also trying it with +15V and 0V - this will partly work but still cause you problems. Look at the DC characteristics and note that the input common mode voltage range is specified as typically -12V (when using a +/-15V rail) at the low end. Now move that up 15V to see what it will be when 0V is the negative power rail and you should not expect any decent performance with inputs lower that +3V.

The output voltage swing will also clamp at a volt or so above the negative rail (0V in your set up) so this will be another problem. Use a rail-to-rail amplifier.