What does this sentence mean?
Sei tu a cercarmi

Is it the same as this?
A me tu sei cercare

If so, why is the conjugated essere going with an infinitive? What does it mean?

Grazie mille.

Question

What does this sentence mean?
Sei tu a cercarmi

Is it the same as this?
A me tu sei cercare

If so, why is the conjugated essere going with an infinitive? What does it mean?

Grazie mille.

Answer

Cercare doesn't require a preposition:cerco te, cerco lei, cerco il cane... 
Sei tu a cercarmi: its you that it's looking for me