If someone just gained the Edit Privilege (which will give access to the Suggested Edits queue) while they are suspended from reviewing, they are able to see a pending review on a post but still can't review it, neither edit the question until that suggested edit is handled, neither access the suggested edit queue that was just unlocked for them.
When clicking on edit
, the suspension message will appear in addition to the suggested edit differences, without the ability to do anything.
You’ve been suspended from reviewing. You will be able to review again on...Your review on ... wasn't helpful. Please review the history of the post and consider which action would achieve that outcome more quickly.
Feature suggestion
On this specific scenario (more or less some conditions like current suspension duration...), lift the review suspension for that user for all queue reviews or at least for the Suggested Edits queue only. This can be see as an extra bonus with the privilege that may give users (talking about a relatively small reputation user, ~2000 rep only) a chance to learn and improve their reviews.
Related question : Review bans should escalate beyond 30 days