You asked

When will my child really begin to play with other children?

By age two, your child will probably be more comfortable playing next to other children, but he or she will still be playing in parallel, rather than with another child. Some two year olds may play briefly with each other, but after a few minutes, they’re likely to return to self-absorption.

There will probably still be tussles over toys for a while, but there are things you can do to encourage your child to share, which is the first step in playing with other children.

Try playing games that allow you to take turns. Take turns with favourite tasks, like stirring food, or set a timer, and explain to your child that when the buzzer goes, it’s time to let someone else play, or draw, or anything else you can think of.

It’s normal for your child to be self-centred, and to only think of his or her own needs or feelings now, but you can start teaching him or her about sharing now.

More questions

There is no right or wrong age to get a family dog; however, you should be mindful of your situation before you rush into things. 
Serious risks and medical conditions associated with regression of a child’s motor skills
Drooling and difficulty eating can be associated with normal toddler behaviour, illness or sensory processes.
Up to the age of three, your toddler will be over separation anxiety. However, as there are so many separations in the years of growing up – pre-school, a few days away at camp, and even your child’s first year at college, bouts of separation anxiety could very well occur from time to time all through your child’s life.
As long as your toddler has plenty of space and time to play, and practice all their new physical skills, they’re probably doing just fine with her development!
Toddlers are naturally curious about everything. Instead of stifling that curiosity, you should be making every effort to promote it!
Your child’s imagination is not only a source of fun – it’s one of his or her most important early learning tools.
Young children are emotional beings. The worst thing you can do is make them stifle those emotions. Teach them how to cope with them instead, and you’ll raise a well-adjusted child.
If you want your child to grow up with a strong spiritual foundation, it’s never too young to start teaching, but remember to teach by example.
For toddlers, as with older children and adults, happiness comes from inside, not from outside.