When papers are submitted to reviewers and editors, do they see what are the names of the authors in the paper submitted?
Unless the journal uses double-blind or triple-blind peer review (uncommon), editors and reviewers will see the names of the authors. You can check whether the journal uses double-blind or triple-blind peer review on the journal's website.
If my professor co-authors a paper will it be easier to get published?
Not really. The prestige of the author does matter when publishing a book, but the impact in journals is much smaller. It's not non-existent - for example if one is a member of the National Academy of Sciences, it's relatively easy to get published in PNAS. But in general, plenty of professors get their papers rejected as well, and it's what's written in the paper that counts.
Should I include my professor's name with my name to get the paper published easier?
Warning: this is usually viewed as unethical. All authors should have contributed significantly to the paper to be listed. Some publishers explicitly list this as part of their policy, and violating it can get your paper retracted and you (+ your co-author) blacklisted. Here's an example from Elsevier. Quoting only the relevant part:
Authorship should be limited to those who have made a significant contribution to the conception, design, execution, or interpretation of the reported study. All those who have made substantial contributions should be listed as co-authors.