A lot of people, myself included, views the multiplayer in Medal of Honor as a cross between Call of Duty and Battlefield. Fortunately for me, I (mostly) enjoy both the aformentioned franchies, so stepping into Warfighters multiplayer didn't require much of an adjustment plus I also played the previous MoH game, so I had some previous experience to fall back on. My opinion on the multiplayer is split, on the one hand there were moments where I was genuinely having fun but then at other times, I was getting stupidly frustrated/annoyed by the lag, bugs and underpopulated servers. If you've completed the SP trophies and thought they were time consuming, you defintely won't be happy to see the MP trophy list. The time scale will vary depending on your skill level but you can easily expect to spend at least double the amount of time playing the MP, compared to how long you spent on SP. Bottom line is, most of the MP trophies are very grindy, so if you're not patient enough to get through them, I'd probably advise moving onto another game.
Multiplayer Trophy Trophy Guide
MVP - Finished in first place in any online match