On the faucet should be a manufacturers name near the escutcheon plate, on the swing-arm.
Shut the water off at the angle stops under the sink. On the control lever you'll find a screw, which may be under a removable cap, which you loosen, and might remove, which allows you to remove that handle. You'll either be able to remove the faucet cartridge, or you'll need to remove a retainer cap to access the cartage.