Vband
So if you are planning to do CPT you have to start 3-6 months before and I think for summer you should have started since January. Few points to be take care is to make a killer resume and also according to the USA firms so best is every university has there own career development program so go to them and get your resume done and meet all your professors who thought you through out the course and ask them guidance , references for it . Make your LinkedIn and other portals ready for job search and apply daily 10 at least with tailoring resume for each JD . Many companies hire interns .
Best of luck .