Gate driver question
Your transistor is put as emitter-follower (common collector) which means that it will amplify current but not voltage. The output voltage will be slightly lower that te input voltage. For voltage amplification, use the common emitter configuration. (Google will be your friend)

Your circuit shows an IRFZ34, which needs a gate volatge of 10V, so it won't work with the 5V you show in your circuit.