for "going to" you need the conjugation of the verb "to be"
"I am" going to look for a new job.
"We are" going to look for new jobs.
"He is" going to look for a new job.
For will and shall (which are mostly interchangeable, but "will" is more natural and preferred) you do not need the "to be" verb.
I will look for a new job.
I shall look for a new job.