If you still have the owner's manual or can get one online, start there. I linked to one below, but am not sure what brand you have. Some have no direct contact between the blades and the bed knife - I do not know how to maintain those...
Normally one has to pull the wheel hub covers, spin the pawls, and swap the smaller gears side to side. This sets it up to run backward. If you have a drill with a 1/2" collet, you can pull the hub covers, pawls, and smaller gears entirely, brace the reel, and run it with a drill, otherwise, set it up and turn by hand or pull it to make the blades run backward.
Apply a smear of lapping compound to all the blades, adjust for good contact with the bed knife, and run backward till they're sharp. It might also be possible to back off the bed knife and tape some coarse sandpaper to it, but I've never done it that way. The lapping compound will break down very fine as it goes, leaving a fairly rough but geometrically clean edge. A finer finish can be made by mixing a bit of oil with finer compounds, but 220 is considered pretty fine for this sort of thing. It may require several applications...
Wash it all off when you're done - lapping compounds made specifically for reel mowers are often waterbased as these are mostly used on golf courses. Reverse the gears and you're done.
Tune the cutting bar and see if you can get a sheet of newsprint to slice all the way across each blade pass. I find I sometimes have to smack the blades with a piece of wood and hammer in some spots along the edge to get solid contact - probably the result of cutting twigs and such. The better you can get it, the lighter you can set the bar and the easier it will go.
I used to mow an entire acre with mine - get it set and keep it sharp and it goes faster than a gas push mower and easier unless the mower is powered (but then it takes longer!).
https://www.reelin.com/Manuals/204,303,304, 404 Owner's Manual.pdf