This would generally not breach the rules regarding double-blind reviews. I am not aware of any conferences that would forbid mentioning the paper on your CV, although I did not check every individual conference.
The double-blindness of reviews always depends on some level of cooperation from the reviewers. A reviewer can usually get a pretty good idea of the identity of the authors already if they search for it. Putting the paper on your CV which you then post on your website will make de-anonymizing your paper slightly easier, but only slightly.
I could not find any specific rules regarding double-blind reviews in the CVPR call for papers. I did check some other conferences, however. For example, this is the relevant paragraph in the Submission Instructions for AAMAS2023:
Reviewing for AAMAS is double-blind. This means that reviewers should not be aware of the identity of the authors of the papers they review. As an author you must make a reasonable effort to ensure that this is possible. Specifically, please replace your name and affiliation on the first page with the paper tracking number and do not include any acknowledgements in your submission. Cite your own prior work where appropriate, but do so in the third rather than the first person (that is, write, for instance, “X et al. [42] showed …” rather than “We showed … [42]”).
Other conferences may have different rules, but I believe that the AAMAS rules are pretty typical.
[EDIT: I found the releveant instructions on the CVPR site. They too clearly do not forbid you mentioning the paper on your website.]
CVPR reviewing is double blind, in that authors do not know the names of the area chairs or reviewers for their papers, and the area chairs/reviewers cannot, beyond a reasonable doubt, infer the names of the authors from the submission and the additional material. Do not provide information that may identify the authors in the acknowledgments (e.g., co-workers and grant IDs) and in the supplementary material (e.g., titles in the movies, or attached papers). Also do not provide links to websites that identify the authors. Violation of any of these guidelines may lead to rejection without review. If you need to cite any of your own papers that are being submitted concurrently to CVPR or another venue, you should (1) include anonymized versions of those papers in the supplementary material; (2) cite these anonymized papers; and (3) argue in the body of your paper why your CVPR submission is non-trivially different from these concurrent submissions.
