The midfielder has enjoyed a decent debut season at Ibrox after joining from Motherwell in the summer and has been nominated for the third-tier PFA Player of the Year gong alongside team-mates Lee Wallace and Jon Daly.
Despite romping to title glory, Ally McCoist's side have come under fire for a series of below-par performances and Law admits the pressure has been intense.
He said: "It takes getting used to playing for Rangers. With the press and the scrutiny with where Rangers are, there's even more spotlight on the club and it's been difficult.
"Being told how rubbish you are for six months despite not losing a league game is strange.
"We know ourselves the form and how we've played since Christmas has really not been good enough. "We've huffed and puffed and got over the line in games despite not playing well which is different from the early part of the campaign when we were on our game, scoring freely and winning handsomely.
"We've dropped and when we've needed it for the cup games it was hard to get that performance back and we've been punished.
"This is the most scrutiny I've been under, completely different to anything I've been used to.
"I played for Sheffield United in the Premiership, which is a big club, when I was a teenager, so you just go out without a care in the world.
"Then at Rotherham, Bradford and Motherwell the focus isn't as intense as it is at Rangers where someone has an opinion on every move you make.
"It's such a massive football club and it's been hard but you need to get used to it.
"People say it can take a year or two to adapt to a club like that and it's been a strange season."
Rangers have had the SPFL League One crown wrapped up for several months as they have eased clear at the top of the table.
The champions are just four games away from an unbeaten third-tier campaign and Law admits it has been difficult to remain motivated and keep standards high as they have cruised over the finishing line.
He said: "The manager [Ally McCoist] has had to get us going at times. A big part of his job has been keeping us motivated and won't let us slacken.
"Even before the Forfar game on Tuesday he said if we dropped an inch we would be coming off.
"You can't let your standards drop at Rangers because there is no room for that.
"The Forfar game was strange, almost like a friendly atmosphere.
"We just had to be professional and try and create a tempo but it's hard at times."