When in doubt, ask the internet:
You can see that it’s a pretty simple process. However, waiting in line may be a bit much for you, since it can take well over an hour for the operator to lock-through a set of barges. Just to help you see that this is true, the towboat crew has to break the string into two pieces and that makes the process slow, and passing through in the downstream direction is especially slow because in that case, the non-powered half of the string is moved out of the lock only by a feeble current (I don’t know why they never use the winches for a downstream lock-through, because it would be a lot faster. Maybe they just want to avoid the danger, since without winching, the string will get where it’s going, eventually). Anyway, I seem to remember that it takes a good 1.5 hours to complete the whole process for a downstream lock-through, and maybe 1 hour for doing it upstream (upstream is faster because they move the non-powered half of the string out of the lock with winches).
As you can imagine, recreational boaters can have a pretty long wait for their turn, especially if two sets of barges are ahead of you. You might be lucky and be able to pass through right away, but I think it would be wise to be prepared to portage around. I haven’t seen the lock and dam in question, but I’ve seen a few up this way, and none of them are portage-friendly setups. Still faced with hours of waiting, even a long portage is probably a better option.