There's two cases that may be relevant: the US case and the EU case.
The US's case against Microsoft was that they leveraged a monopoly in one field (OSes) to gain market share in another (web browsers) through unfair licensing terms. Those terms were forcing OEMs like Dell to bundle IE and place it on the home screen.
I think the US case actually paints Google, not Apple, in a bad light. Apple does not license its software to OEMs, so there's no license terms that can be unfair. Indeed, if the point of the case is "OEMs should have more freedom and flexibility" - well, Apple IS the OEM.
But Google does license to OEMs under very strict terms. For example, if I am an OEM and I want to ship Google Maps or the Play Store, I must include all the apps Google asks me to, I must make Google the default search engine for everything, I must tell Google how many devices I sell, I can't sell any other devices with custom Android, etc. This is well beyond what Microsoft did, and is the basis of one of the EU's cases against Google.
The EU case against Microsoft is a little close to Apple, but only a little. Microsoft was accused of creating "disincentives for OEMs to ship third party streaming media players, and harms competition in the market for streaming media players." The concern there was that content providers would be forced to use Microsoft's proprietary media formats.
The analogy to Apple would be very strong if Mobile Safari had lots of proprietary features, like ActiveX. But instead Apple has gone the other way, e.g. by not including Flash. It does not appear that Apple is making a play to control the web through proprietary standards.