Yes. You will play most of the times against players of the same division as you, and therefore players of the same level. If you’re in good form, you will be promoted to a higher division at the end of the week and you will face more skilled players, having also the chance to win better rewards.
However, since Division Rivals will always try to match you with a player of a similar Skill Rating who is close to you geographically to provide you with the best matchmaking experience possible, if you are on the cusp of promotion or relegation in Rivals, then you could potentially play against an opponent in a higher or lower Division than your current Division.
As a player who exceeds 2200 skill rating in Division 1, your matchmaking will have hit a cap. This is targeted to improve the overall likelihood of matchmaking in upper skill tiers and ensure that players find games both quicker and with more regularity.