I spent a lot of years in university, but my spelling isn't great, and my grammar isn't always correct. I definitely use spellcheck and google to aid in proper spelling. I agree with the OP. It may take more time to strive to spell correctly, and use proper grammar, but I think it's important. When I review resumes, I automatically discard those from candidates who have spelling mistakes.

Incorrect spelling and poor grammar detract from even the best written ideas.