If all (or almost all) of your votes are for a single individual, then the first thing that would happen is that the votes would be cancelled. This is because this activity looks far too much like deliberately sock-puppeting or vote fraud.
Suspension is unlikely to happen unless you repeatedly do something against site rules. I'm not sure if that includes multiple instances of having your votes rolled back under the previous rule (and SE deliberately keep the specifics of these rules a secret so individuals do not try and game the system)
If in the course of normal voting, a particular individual gets a lot of upvotes, this probably isn't a problem, but make sure you also give time to others who may have good posts as well, and upvote them if they deserve it. Remember, votes are for posts (questions or answers) that you feel are good, or that help you, or are well written etc. Votes don't need to be saved for just the best posts - those ones will become evident as they earn many more votes.