No. Women may choose to serve in the military, but there is no requirement for them to do so. There's been talk of instituting a "citizen's service" for all citizens, where presumably women mostly would be expected to perform civil service similar to what men can now choose.

The exempted religious group are the Jehova's witnesses. It's my understanding they were granted an exemption because men in the group would by and large all refuse to serve, and putting them all in prison wasn't doing much good. However, recently a conscientous objector was released by a court on the grounds that this exemption constitutes inequal treatment, and the state now has to address the issue. I suppose the options they have are to either extend the exemption to others based on some grounds to be determined, or remove the exemption of Jehova's witnesses.

The ministry of defense has proposed to solve the problem by removing the witnesses' exemption. In general, the state appears to be consistently treating this as a practical matter of maintaining the current policy of general conscription, and not as a rights issue at all.